Nonassociative rings
type: Item
instance of: scholarly article
title: Nonassociative rings
zbMATH Open document ID: 0486.17001
DOI: 10.1007/BF01255614
author: Yuri Bahturin
author: Arkadii Slinko
author: Ivan Shestakov
published in: Journal of Soviet Mathematics
publication date: 1981-01-01T00:00:00Z
Mathematics Subject Classification ID: 17-02
Mathematics Subject Classification ID: 17Bxx
Mathematics Subject Classification ID: 17Cxx
Mathematics Subject Classification ID: 17Dxx
zbMATH DE Number: 3764124
zbMATH Keywords: survey
zbMATH Keywords: R Zh Matematika 1972-1978
zbMATH Keywords: infinite-dimensional Lie algebras
zbMATH Keywords: Jordan algebras
zbMATH Keywords: alternative rings
zbMATH Keywords: Mal'tsev algebras
zbMATH Keywords: varieties
zbMATH Keywords: representations
zbMATH Keywords: radicals
Wikidata QID: Q61586523
MaRDI profile type: Publication
cites work: Synthesis of optimal controls for amplitude-impulse systems in the problem of minimizing the mean value of a functional of quadratic type
cites work: Q4744417
cites work: Q4132696
cites work: Q3861561
cites work: Power-associative monocomposition algebras
cites work: Subalgebras of nondegenerate commutative QM-algebras
cites work: Derivations of monocomposition algebras
cites work: Semimodular Lie algebras
cites work: Q4187954
cites work: Q4124980
cites work: Q4106715
cites work: Nilpotency of right alternating rings
cites work: A locally nilpotent radical of nonassociative rings
cites work: Q4090495
cites work: Identities of generalized accessible rings
cites work: Properties of the join of varieties of algebras
cites work: On identities in Lie algebras
cites work: Q4092149
cites work: Q3916712
cites work: Q4129607
cites work: Q4173534
cites work: Quasiregular ideals in finitely generated alternative rings
cites work: The radical and representations of alternative rings
cites work: Q4777481
cites work: On local finiteness in the sense of Shirshov
cites work: Jordan algebras with finiteness conditions
cites work: Structures of the degrees of unsolvability of index sets
cites work: Q5628302
cites work: Q4141288
cites work: Ordered Lie algebras
cites work: Levi's theorem for Mal'cev algebras
cites work: On the Cartesian subalgebras of a free Lie sum of Lie algebras
cites work: The subalgebras of free Lie \(p\)-algebras
cites work: Imbedding of solvable Lie algebras of countable rank in solvable Lie algebras with two generators
cites work: Intersection of subalgebras of a free Lie algebra
cites work: Algorithmic problems for solvable Lie algebras
cites work: Bases of a free Lie algebra
cites work: Q4119348
cites work: Finitely based identities of nonassociative rings
cites work: Finite-dimensional algebras with infinite bases of identities
cites work: Varieties generated by finite alternative rings
cites work: Nil systems and radicals in alternative Artin rings
cites work: Heredity of radicals of rings of type \((\gamma,\delta)\)
cites work: Q4200340
cites work: Extension of Lie algebra orderings
cites work: The lattices of varieties of lattice-ordered groups and Lie algebras
cites work: LOCAL FINITENESS OF PERIODIC SUBLOOPS OF AN ALTERNATIVE PI-RING
cites work: Finite basis property of varieties with binomial identity
cites work: Identities of finite Jordan \(\Phi\)-algebras
cites work: Example of a variety of solvable alternative algebras over a field of characteristic 2 having no finite basis of identities
cites work: Locally rigth-nilpotent radical in the class of right-alternative rings
cites work: Wedderburn's theorem on the splitting radical for a (-1,1)-algebra
cites work: Prime right-alternative rings
cites work: Right nilpotency in right alternative rings

Nonassociative rings (cites work)
cites work: Simple right alternative rings

Nonassociative rings (cites work)
cites work: Prime, right alternative rings with an idempotent

Nonassociative rings (cites work)
cites work: Supernilpotent radicals of \((-1, 1)\)-rings

Nonassociative rings (cites work)
cites work: Almost alternative algebras

Nonassociative rings (cites work)
cites work: Q5594662

Nonassociative rings (cites work)
cites work: Exterior differentiation in Lie algebras

Nonassociative rings (cites work)
cites work: A free (?1, 1)?algebra with two generators

Nonassociative rings (cites work)
cites work: Nilpotency of the associator ideal of a free finitely generated (−1, 1) ring

Nonassociative rings (cites work)
cites work: Identities defining a certain variety of right-alternative algebras

Nonassociative rings (cites work)
cites work: A locally nilpotent radical in some classes of right-alternative rings

Nonassociative rings (cites work)
cites work: An example of unsolvable just non-cross varieties of groups

Nonassociative rings (cites work)
cites work: Q3913561

Nonassociative rings (cites work)
cites work: Q3213835

Nonassociative rings (cites work)
cites work: Nilpotency in Jordan and right alternative algebras

Nonassociative rings (cites work)
cites work: Right representations of algebras

Nonassociative rings (cites work)
cites work: Q4184898

Nonassociative rings (cites work)
cites work: The Lie center of binary-Lie algebras

Nonassociative rings (cites work)
cites work: Generalization of alternative and Mal'tsev algebras

Nonassociative rings (cites work)
cites work: Nilpotent ideals of Mal'tsev algebras

Nonassociative rings (cites work)
cites work: Finitely generated Mal'tsev algebras

Nonassociative rings (cites work)
cites work: Densely embedded ideals of Lie algebras

Nonassociative rings (cites work)
cites work: Q4169031

Nonassociative rings (cites work)
cites work: Q4135734

Nonassociative rings (cites work)
cites work: Some varieties of Lie algebras

Nonassociative rings (cites work)
cites work: Q5629803

Nonassociative rings (cites work)
cites work: Generalization of alternative and commutative rings

Nonassociative rings (cites work)
cites work: Generalized standard rings

Nonassociative rings (cites work)
cites work: Radicals and nilpotent elements of free alternative algebras

Nonassociative rings (cites work)
cites work: Q4148132

Nonassociative rings (cites work)
cites work: A problem of Shirshov

Nonassociative rings (cites work)
cites work: Free alternative algebras

Nonassociative rings (cites work)
cites work: Q3207163

Nonassociative rings (cites work)
cites work: On the Gel'fand-Kirillov conjecture

Nonassociative rings (cites work)
cites work: A note on train algebras

Nonassociative rings (cites work)
cites work: Q4141359

Nonassociative rings (cites work)
cites work: A class of nonassociative algebras with involution containing the class of Jordan algebras

Nonassociative rings (cites work)
cites work: Q5658213

Nonassociative rings (cites work)
cites work: A Note on Finite Dimensional Subideals of Lie Algebras

Nonassociative rings (cites work)
cites work: Finiteness Conditions on Soluble Lie Algebras

Nonassociative rings (cites work)
cites work: Lie algebras in which every n-generator subalgebra is an n-step subideal

Nonassociative rings (cites work)
cites work: Lie algebras in which every finitely generated subalgebra is a subideal

Nonassociative rings (cites work)
cites work: Quasi-Ideals of Lie Algebras I

Nonassociative rings (cites work)
cites work: Quasi-Ideals of Lie Algebras II

Nonassociative rings (cites work)
cites work: Finitely Generated Lie Algebras

Nonassociative rings (cites work)
cites work: Q4055834

Nonassociative rings (cites work)
cites work: Descending chain conditions for Lie algebras of prime characteristic

Nonassociative rings (cites work)
cites work: On the Levitzki Radical

Nonassociative rings (cites work)
cites work: The Levitzki radical in varieties of algebras

Nonassociative rings (cites work)
cites work: A Classification of 2-Varieties

Nonassociative rings (cites work)
cites work: On a class of 2-varieties

Nonassociative rings (cites work)
cites work: Semisimple nil algebras of type \(\delta\)

Nonassociative rings (cites work)
cites work: On nearly commutative degree one algebras

Nonassociative rings (cites work)
cites work: On finite algebras of prime dimension without subalgebras

Nonassociative rings (cites work)
cites work: On Maximally Central Algebras

Nonassociative rings (cites work)
cites work: Über Lie-Ringe von Gruppen und ihre universellen Enveloppen

Nonassociative rings (cites work)
cites work: Endlichwertige Vielfachenketten in Ringen mit Associativungleichungen

Nonassociative rings (cites work)
cites work: Identities in the universal envelopes of Lie algelras

Nonassociative rings (cites work)
cites work: On Identical Relations in Free Polynilpotent Lie Algebras

Nonassociative rings (cites work)
cites work: On Homomorphisms of Soluble Lie Algebras

Nonassociative rings (cites work)
cites work: Maximal subgroups of \(GL_{2n}(K), SL_{2n}(K), PGL_{2n}(K)\) and \(PSL_{2n}(K)\) associated with symplectic polarities

Nonassociative rings (cites work)
cites work: Finite basis theorem for rings and algebras satisfying a central condition

Nonassociative rings (cites work)
cites work: Lattice automorphisms of semi-simple Lie algebras

Nonassociative rings (cites work)
cites work: The Frattini argument for Lie algebras

Nonassociative rings (cites work)
cites work: Saturated formations of soluble Lie algebras in characteristic O

Nonassociative rings (cites work)
cites work: Q4776007

Nonassociative rings (cites work)
cites work: Free Lie Algebras and Free Groups

Nonassociative rings (cites work)
cites work: On the subalgebras of certain finitely presented algebras

Nonassociative rings (cites work)
cites work: Subalgebras of finitely presented solvable Lie algebras

Nonassociative rings (cites work)
cites work: Computer Approaches to the Representations of Lie Algebras

Nonassociative rings (cites work)
cites work: Halbeinfache quadratische Algebren und antikommutative Algebren mit assoziativen Bilinearformen

Nonassociative rings (cites work)
cites work: Über eine Klasse flexibler quadratischer Divisionsalgebren.

Nonassociative rings (cites work)
cites work: Infinite subrings of infinite rings and near-rings

Nonassociative rings (cites work)
cites work: On Inner Ideals and Ad-Nilpotent Elements of Lie Algebras

Nonassociative rings (cites work)
cites work: A remark on a paper of fuchs and szele

Nonassociative rings (cites work)
cites work: A Unification of the Theories of Jordan and Alternative Algebras

Nonassociative rings (cites work)
cites work: Q4777475

Nonassociative rings (cites work)
cites work: Q4195104

Nonassociative rings (cites work)
cites work: Prime spezielle Jordanringe mit Polynomidentität

Nonassociative rings (cites work)
cites work: Definition einer Dixmier-Abbildung für \(\mathfrak{sl}(n,\mathbb C)\)

Nonassociative rings (cites work)
cites work: Primitive vollprime Ideale in der Einhüllenden von \(\mathfrak {so}(5,\mathbb{C})\)

Nonassociative rings (cites work)
cites work: Primideale in Einhüllenden auflösbarer Lie-Algebren (Beschreibung durch Bahnenräume)

Nonassociative rings (cites work)
cites work: Über primitive Ideale in der Einhüllenden einer halbeinfachen Lie- Algebra

Nonassociative rings (cites work)
cites work: Oresche Teilmengen in Einhüllenden Algebren. (Ore subsets in enveloping algebras)

Nonassociative rings (cites work)
cites work: Lie rings and the Engel condition

Nonassociative rings (cites work)
cites work: On prime Jordan rings H(R) with chain condition

Nonassociative rings (cites work)
cites work: On Cayley-Dickson Rings

Nonassociative rings (cites work)
cites work: Goldie-Like Conditions on Jordan Matrix Rings

Nonassociative rings (cites work)
cites work: On Semiprime Jordan Rings H(R) with ACC

Nonassociative rings (cites work)
cites work: Prime goldie-like jordan matrix rings and the common multiple property

Nonassociative rings (cites work)
cites work: On Semiprime Ample Jordan Rings

Nonassociative rings (cites work)
cites work: On Prime Goldie-Like Quadratic Jordan Matrix Algebras(1)

Nonassociative rings (cites work)
cites work: A Wedderburn Theorem for Alternative Algebras With Identity Over Commutative Rings

Nonassociative rings (cites work)
cites work: SOLUBLE VARIETIES OF LIE ALGEBRAS

Nonassociative rings (cites work)
cites work: Local Jordan Algebras

Nonassociative rings (cites work)
cites work: The First Whitehead Lemma for Malcev Algebras

Nonassociative rings (cites work)
cites work: Der Wedderburnsche Hauptsatz für alternative Tripelsysteme und Paare

Nonassociative rings (cites work)
cites work: Q4138864

Nonassociative rings (cites work)
cites work: Commutative associative rings and anti-flexible rings

Nonassociative rings (cites work)
cites work: On primitive and prime antiflexible rings

Nonassociative rings (cites work)
cites work: Power-Associativity of Antiflexible Rings

Nonassociative rings (cites work)
cites work: On Algebras Satisfying the Identity (yx)x + x(xy) = 2(xy)x

Nonassociative rings (cites work)
cites work: On a Wedderburn Principal Theorem for the Flexible Algebras

Nonassociative rings (cites work)
cites work: On nilpotent Lie algebras

Nonassociative rings (cites work)
cites work: Subinvariance in Solvable Lie Algebras

Nonassociative rings (cites work)
cites work: Action d'un groupe algébrique dans l'espace des ideaux primitifs d'une algèbre enveloppante

Nonassociative rings (cites work)
cites work: Espace des ideaux primitifs de l'algèbre enveloppante d'une algèbre de Lie nilpotente

Nonassociative rings (cites work)
cites work: Q4138868

Nonassociative rings (cites work)
cites work: Nil Algebras Satisfying an Identity of Degree Three

Nonassociative rings (cites work)
cites work: Scalar Dependent Algebras

Nonassociative rings (cites work)
cites work: Some Associativity Conditions for Algebras

Nonassociative rings (cites work)
cites work: Associo-Symmetric Algebras

Nonassociative rings (cites work)
cites work: On Scalar Dependent Algebras

Nonassociative rings (cites work)
cites work: Algebras Satisfying Congruence Relations

Nonassociative rings (cites work)
cites work: Simple Nearly Antiflexible Algebras Have Unity Elements

Nonassociative rings (cites work)
cites work: On One-Relator Associative Algebras

Nonassociative rings (cites work)
cites work: Strong radical properties of alternative and associative rings

Nonassociative rings (cites work)
cites work: Quotients simples de l'algèbre enveloppante de \({\mathfrak sl}_2\)

Nonassociative rings (cites work)
cites work: Q4063309

Nonassociative rings (cites work)
cites work: Q4093620

Nonassociative rings (cites work)
cites work: Polarisation dans les algèbres de Lie. II

Nonassociative rings (cites work)
cites work: Primitive ideals in enveloping algebras

Nonassociative rings (cites work)
cites work: An elementary proof of the Baker-Campbell-Hausdorff-Dynkin formula

Nonassociative rings (cites work)
cites work: Zur Konstruktion homogener Kegel

Nonassociative rings (cites work)
cites work: Relative Invarianten und nichtassoziative Algebren

Nonassociative rings (cites work)
cites work: Q5617741

Nonassociative rings (cites work)
cites work: Q4071927

Nonassociative rings (cites work)
cites work: Sur la classification des idéaux primitifs dans l'algèbre enveloppante d'une algèbre de Lie semi-simple

Nonassociative rings (cites work)
cites work: Q4063605

Nonassociative rings (cites work)
cites work: Submodules of Cayley algebras

Nonassociative rings (cites work)
cites work: The Brandt condition in Cayley algebras

Nonassociative rings (cites work)
cites work: Über verallgemeinerte Cayley-Dickson Algebren.

Nonassociative rings (cites work)
cites work: The Prime Radical in Special Jordan Rings

Nonassociative rings (cites work)
cites work: Prime nonassociative algebras

Nonassociative rings (cites work)
cites work: Q5645575

Nonassociative rings (cites work)
cites work: The structure of autodistributive algebras

Nonassociative rings (cites work)
cites work: On Levi factors of derivation algebras and the radical embedding problem

Nonassociative rings (cites work)
cites work: A generalization of noncommutative Jordan algebras

Nonassociative rings (cites work)
cites work: Radicals and Bimodules

Nonassociative rings (cites work)
cites work: Generalizations of nilpotence and solvability in universal classes of algebras

Nonassociative rings (cites work)
cites work: Q4137589

Nonassociative rings (cites work)
cites work: On the Classification of Metabelian Lie Algebras

Nonassociative rings (cites work)
cites work: Duality Theories for Metabelian Lie Algebras

Nonassociative rings (cites work)
cites work: Some remarks on the center of the universal enveloping algebra of a classical simple Lie algebra

Nonassociative rings (cites work)
cites work: Q4156537

Nonassociative rings (cites work)
cites work: On Commutative Power-Associative Nilalgebras of Low Dimension

Nonassociative rings (cites work)
cites work: Generalizing alternative rings

Nonassociative rings (cites work)
cites work: Q4765335

Nonassociative rings (cites work)
cites work: Ideals of Coadjoint Orbits of Nilpotent Lie Algebras

Nonassociative rings (cites work)
cites work: Nodal Algebras Defined by Skew-Symmetric Bilinear Forms

Nonassociative rings (cites work)
cites work: Generalized simple noncommutative Jordan algebras of degree two

Nonassociative rings (cites work)
cites work: Contributions to genetic algebras II

Nonassociative rings (cites work)
cites work: The derivations of Mn(C)

Nonassociative rings (cites work)
cites work: The Derivation Algebra of M48(C)

Nonassociative rings (cites work)
cites work: The Centralizer of a Cartan Subalgebra of a Jordan Algebra

Nonassociative rings (cites work)
cites work: The Components of the Automorphism Group of a Jordan Algebra

Nonassociative rings (cites work)
cites work: An integral basis theorem for Jordan algebras

Nonassociative rings (cites work)
cites work: Associators in simple algebras

Nonassociative rings (cites work)
cites work: On the structure group of a split semisimple jordan algebra I

Nonassociative rings (cites work)
cites work: On the structure group of a split semisimple jordan algebra II

Nonassociative rings (cites work)
cites work: Q4122057

Nonassociative rings (cites work)
cites work: Conditions that guarantee that all nilpotents commute with every element of an alternative ring

Nonassociative rings (cites work)
cites work: Right alternative rings with idempotents

Nonassociative rings (cites work)
cites work: Nil semi-simple (-1,1) rings

Nonassociative rings (cites work)
cites work: The characterization of (-1,1) rings

Nonassociative rings (cites work)
cites work: Alternative Rings Without Nilpotent Elements

Nonassociative rings (cites work)
cites work: Generalized right alternative rings

Nonassociative rings (cites work)
cites work: A generalization of anti-commutative rings arising from 2-varieties

Nonassociative rings (cites work)
cites work: Generalization of Right Alternative Rings

Nonassociative rings (cites work)
cites work: A Note on Generalizing Alternative Rings

Nonassociative rings (cites work)
cites work: Semi-prime generalized right alternative rings

Nonassociative rings (cites work)
cites work: Simple (\(\gamma\delta\)) algebras are associative

Nonassociative rings (cites work)
cites work: Alternator and Associator Ideal Algebras

Nonassociative rings (cites work)
cites work: Q4190790

Nonassociative rings (cites work)
cites work: On the Andrunakievich lemma for alternative rings

Nonassociative rings (cites work)
cites work: Produkte positiver Elemente in formal-reellen Jordan-Algebren

Nonassociative rings (cites work)
cites work: On free alternative rings

Nonassociative rings (cites work)
cites work: Introduction to Lie Algebras and Representation Theory

Nonassociative rings (cites work)
cites work: Q5664026

Nonassociative rings (cites work)
cites work: Q5832100

Nonassociative rings (cites work)
cites work: Q5622399

Nonassociative rings (cites work)
cites work: Structure groups and Lie algebras of Jordan algebras of symmetric elements of associative algebras with involution

Nonassociative rings (cites work)
cites work: Q4041736

Nonassociative rings (cites work)
cites work: Q5666699

Nonassociative rings (cites work)
cites work: Reelle Jordanalgebren mit endlicher Spur

Nonassociative rings (cites work)
cites work: Die Struktur endlicher schwach abgeschlossener Jordanalgebren. I: Stetige Jordanalgebren

Nonassociative rings (cites work)
cites work: Die Struktur endlicher schwach abgeschlossener Jordanalgebren. II: Diskrete Jordanalgebren

Nonassociative rings (cites work)
cites work: Lie Rings of Derivations of Associative Rings

Nonassociative rings (cites work)
cites work: Simple Lie Rings of Derivations of Commutative Rings

Nonassociative rings (cites work)
cites work: Proof of the Gelfand-Kirillov Conjecture for Solvable Lie Algebras

Nonassociative rings (cites work)
cites work: Symplectic structure in the enveloping algebra of a Lie algebra

Nonassociative rings (cites work)
cites work: Q4083876

Nonassociative rings (cites work)
cites work: A wild automorphism ofUsl(2)

Nonassociative rings (cites work)
cites work: A Generalization of the Gelfand-Kirillov Conjecture

Nonassociative rings (cites work)
cites work: Second Commutant Theorems in Enveloping Algebras

Nonassociative rings (cites work)
cites work: A preparation theorem for the prime spectrum of a semisimple Lie algebra

Nonassociative rings (cites work)
cites work: Q4135730

Nonassociative rings (cites work)
cites work: Gelfand-Kirillov Dimension for the Annihilators of Simple Quotients of Verma Modules

Nonassociative rings (cites work)
cites work: Q4088966

Nonassociative rings (cites work)
cites work: Three-dimensional division algebras

Nonassociative rings (cites work)
cites work: Q4126504

Nonassociative rings (cites work)
cites work: Semi-Isotopies and the Lattice of Inner Ideals of Certain Quadratic Jordan Algebras

Nonassociative rings (cites work)
cites work: The radical of a Jordan algebra and extensions of the base field

Nonassociative rings (cites work)
cites work: On prime ideals of Lie algebras

Nonassociative rings (cites work)
cites work: Q4141955

Nonassociative rings (cites work)
cites work: Zur Theorie endlich dimensionaler alternativer Algebren

Nonassociative rings (cites work)
cites work: Generalization of alternative rings. I, II

Nonassociative rings (cites work)
cites work: On a Generalization of Alternative and Lie Rings

Nonassociative rings (cites work)
cites work: A generalization of commutative and associative rings

Nonassociative rings (cites work)
cites work: A Generalization of Commutative and Alternative Rings II

Nonassociative rings (cites work)
cites work: Q5678996

Nonassociative rings (cites work)
cites work: Generalization of right alternative rings

Nonassociative rings (cites work)
cites work: A Generalization of Commutative and Alternative Rings. IV

Nonassociative rings (cites work)
cites work: A generalization of (-1,1) rings

Nonassociative rings (cites work)
cites work: On centers of alternative algebras

Nonassociative rings (cites work)
cites work: Locally (-1,1) Rings

Nonassociative rings (cites work)
cites work: Prime locally (-1,1) rings with chain condition

Nonassociative rings (cites work)
cites work: More on a generalization of commutative and alternative rings

Nonassociative rings (cites work)
cites work: A generalization of anti-commutative rings arising from 2-varieties

Nonassociative rings (cites work)
cites work: Rings with x(yz)=z(yx)

Nonassociative rings (cites work)
cites work: A characterization of the saturated closure of a homomorph of Lie algebras

Nonassociative rings (cites work)
cites work: Q4078202

Nonassociative rings (cites work)
cites work: Eine Konstruktion von Jordan-Algebren

Nonassociative rings (cites work)
cites work: On the associativity and commutativity of algebras over commutative rings

Nonassociative rings (cites work)
cites work: Q4050784

Nonassociative rings (cites work)
cites work: On the Lie Algebra of a Burnside Group of Exponent 5

Nonassociative rings (cites work)
cites work: Q4063603

Nonassociative rings (cites work)
cites work: On an infinite-dimensional Lie algebra satisfying the maximal condition for subalgebras

Nonassociative rings (cites work)
cites work: On infinite-dimensional algebras satisfying the maximal condition for subalgebras

Nonassociative rings (cites work)
cites work: A note on Witt algebras

Nonassociative rings (cites work)
cites work: Finiteness conditions for Abelian ideals and nilpotent ideals in Lie algebras

Nonassociative rings (cites work)
cites work: Differentialgleichungen in Jordantripelsystemen

Nonassociative rings (cites work)
cites work: Wedderburnzerlegung für Jordan-Paare

Nonassociative rings (cites work)
cites work: The Lower Central Series of the Group 〈x, y: x p = 1 〉

Nonassociative rings (cites work)
cites work: Free Lie Algebras as Modules Over Their Enveloping Algebras

Nonassociative rings (cites work)
cites work: On a duality for metabelian Lie algebras

Nonassociative rings (cites work)
cites work: On Derivations and Holomorphs of Nilpotent Lie Algebras

Nonassociative rings (cites work)
cites work: Correction and comment concerning “on derivations and holomorphs of nilpotent Lie algebras”

Nonassociative rings (cites work)
cites work: Q4141949

Nonassociative rings (cites work)
cites work: Q4155040

Nonassociative rings (cites work)
cites work: Hereditary Radicals in Jordan Rings

Nonassociative rings (cites work)
cites work: Macdonald's theorem for quadratic Jordan algebras

Nonassociative rings (cites work)
cites work: Q3213282

Nonassociative rings (cites work)
cites work: On generalizations of alternative algebras

Nonassociative rings (cites work)
cites work: Scalar dependent algebras in the alternative sense

Nonassociative rings (cites work)
cites work: Jordan triple systems, 𝑅-spaces, and bounded symmetric domains

Nonassociative rings (cites work)
cites work: Alternative Tripelsysteme

Nonassociative rings (cites work)
cites work: A structure theory of Jordan pairs

Nonassociative rings (cites work)
cites work: Existence and Conjugacy of Cartan Subalgebras of Jordan Algebras

Nonassociative rings (cites work)
cites work: Separable Jordan pairs over commutative rings

Nonassociative rings (cites work)
cites work: Speciality of jordan triple systems

Nonassociative rings (cites work)
cites work: Radical extensions of Jordan rings

Nonassociative rings (cites work)
cites work: On the Constructibility of Prime Characteristic Periodic Associative and Jordan Rings

Nonassociative rings (cites work)
cites work: The structure of Jordan H-algebras

Nonassociative rings (cites work)
cites work: The structure of algebraic jordan algebras without nonzero nilpotent elements

Nonassociative rings (cites work)
cites work: On algebraic power-associative and Jordan algebras with semi-normal functionals

Nonassociative rings (cites work)
cites work: A commutativity theorem for non-associative algebras over a principal ideal domain

Nonassociative rings (cites work)
cites work: A Characteristically Nilpotent Lie Algebra Can be a Derived Algebra

Nonassociative rings (cites work)
cites work: Q4175722

Nonassociative rings (cites work)
cites work: Three dimensional homogeneous algebras

Nonassociative rings (cites work)
cites work: Q4102027

Nonassociative rings (cites work)
cites work: Pseudo-coalescent classes of Lie algebras

Nonassociative rings (cites work)
cites work: Pseudo-coalescent and locally pseudo-coalescent classes of Lie algebras

Nonassociative rings (cites work)
cites work: Axioms for finite and infinite classical Lie algebras

Nonassociative rings (cites work)
cites work: Representations of Solvable Lie Algebras and the Gelfand-Kirillov Conjecture

Nonassociative rings (cites work)
cites work: Representations of solvable Lie algebras. II. Twisted group rings

Nonassociative rings (cites work)
cites work: Representations of solvable Lie algebras. III: Cancellation theorems

Nonassociative rings (cites work)
cites work: Representations of Solvable Lie Algebras. IV: An Elementary Proof of The (U/P) E -Structure Theorem

Nonassociative rings (cites work)
cites work: A GENERAL THEORY OF JORDAN RINGS

Nonassociative rings (cites work)
cites work: Quadratic Jordan Algebras and Cubing Operations

Nonassociative rings (cites work)
cites work: Representations of Quadratic Jordan Algebras

Nonassociative rings (cites work)
cites work: Noncommutative Jordan Rings

Nonassociative rings (cites work)
cites work: Speciality of quadratic Jordan algebras

Nonassociative rings (cites work)
cites work: A characterization of the radical of a Jordan algebra

Nonassociative rings (cites work)
cites work: A characterization of the Jacobson-Smiley radical

Nonassociative rings (cites work)
cites work: Koecher's Principle for Quadratic Jordan Algebras

Nonassociative rings (cites work)
cites work: Homotopes of alternative algebras

Nonassociative rings (cites work)
cites work: Homotopes of noncommutative Jordan algebras

Nonassociative rings (cites work)
cites work: Quadratic Jordan Algebras Whose Elements are all Invertible or Nilpotent

Nonassociative rings (cites work)
cites work: Noncommutative Jordan Division Algebras

Nonassociative rings (cites work)
cites work: Alternative algebras satisfying polynomial identities

Nonassociative rings (cites work)
cites work: Q4776005

Nonassociative rings (cites work)
cites work: Q4776006

Nonassociative rings (cites work)
cites work: Quadratic Jordan Algebras whose Elements are all Regular or Nilpotent

Nonassociative rings (cites work)
cites work: Malcev's theorem for alternative algebras

Nonassociative rings (cites work)
cites work: Absolute Zero Divisors and Local Nilpotence in Alternative Algebras

Nonassociative rings (cites work)
cites work: Finite-dimensional left Moufang algebras

Nonassociative rings (cites work)
cites work: Axioms for inversion in Jordan algebras

Nonassociative rings (cites work)
cites work: Speciality and reflexivity of quadratic jordan algebras

Nonassociative rings (cites work)
cites work: Malcev's theorem for jordan algebras

Nonassociative rings (cites work)
cites work: Q4147219

Nonassociative rings (cites work)
cites work: Identitäten und das Radikal in Jordan-Tripelsystemen. (Identities and the radical in a Jordan triple system)

Nonassociative rings (cites work)
cites work: A Characterisation of von Neumann Regular Jordan Triple Systems

Nonassociative rings (cites work)
cites work: On the Wedderburn Principal Theorem for Nearly (1, 1) Algebras

Nonassociative rings (cites work)
cites work: Q5652826

Nonassociative rings (cites work)
cites work: Simple periodic rings

Nonassociative rings (cites work)
cites work: Prime commutative power-associative algebras with descending chain condition

Nonassociative rings (cites work)
cites work: Q4106714

Nonassociative rings (cites work)
cites work: Q4156896

Nonassociative rings (cites work)
cites work: Q4190785

Nonassociative rings (cites work)
cites work: Rings of quotients for a class of special Jordan rings

Nonassociative rings (cites work)
cites work: Chain Conditions on Symmetric Elements

Nonassociative rings (cites work)
cites work: Jordan Algebras with Minimum Condition

Nonassociative rings (cites work)
cites work: Q4134116

Nonassociative rings (cites work)
cites work: Nicht assoziative separable Algebren über Ringen

Nonassociative rings (cites work)
cites work: On prime ideals and primary decompositions in a nonassociative ring

Nonassociative rings (cites work)
cites work: A Note on Lie-Admissible Nilalgebras

Nonassociative rings (cites work)
cites work: Some Classes of Flexible Lie-Admissible Algebras

Nonassociative rings (cites work)
cites work: A Subalgebra Condition in Lie-Admissible Algebras

Nonassociative rings (cites work)
cites work: Conditions for alternative rings to be Boolean

Nonassociative rings (cites work)
cites work: Direct Product Decomposition of Alternative Rings

Nonassociative rings (cites work)
cites work: Jordan Rings with Involution

Nonassociative rings (cites work)
cites work: Normed Right Alternative Algebras Over the Reals

Nonassociative rings (cites work)
cites work: Q5647070

Nonassociative rings (cites work)
cites work: Q5682928

Nonassociative rings (cites work)
cites work: Q4775995

Nonassociative rings (cites work)
cites work: On Lie algebras having a primitive universal enveloping algebra

Nonassociative rings (cites work)
cites work: Q5680270

Nonassociative rings (cites work)
cites work: Lie algebras with descending chain condition

Nonassociative rings (cites work)
cites work: Proc. Nat. Acad. Sei

Nonassociative rings (cites work)
cites work: Q4102020

Nonassociative rings (cites work)
cites work: Q4149870

Nonassociative rings (cites work)
cites work: Jordan \(^*\)-homomorphisms between reduced Banach \(^*\)-algebras

Nonassociative rings (cites work)
cites work: Central polynomials for Jordan algebras. II

Nonassociative rings (cites work)
cites work: Jordan-Divisionsalgebren und Bewertungen

Nonassociative rings (cites work)
cites work: Lokal kompakte Jordan-Divisionsringe

Nonassociative rings (cites work)
cites work: Composition algebras over a field with a discrete valuation

Nonassociative rings (cites work)
cites work: Reduced simple Jordan algebras of degree three over a field with a discrete valuation

Nonassociative rings (cites work)
cites work: Exceptional Jordan division algebras over a field with a discrete valuation.

Nonassociative rings (cites work)
cites work: Zur Arithmetik der Jordan-Paare

Nonassociative rings (cites work)
cites work: Q4187960

Nonassociative rings (cites work)
cites work: Conjugacy of idempotents in jordan pairs

Nonassociative rings (cites work)
cites work: Classification of locally compact Jordan division rings

Nonassociative rings (cites work)
cites work: Some radical properties of rings with (a,b,c) = (c,a,b)

Nonassociative rings (cites work)
cites work: Solvability and nilpotency in generalized alternative rings

Nonassociative rings (cites work)
cites work: Solvable Assosymmetric Rings are Nilpotent

Nonassociative rings (cites work)
cites work: On the nilpotency of generalized alternative algebras

Nonassociative rings (cites work)
cites work: Q4187961

Nonassociative rings (cites work)
cites work: A Note on Quadratic Jordan Algebras of Degree 3

Nonassociative rings (cites work)
cites work: The arithmetics of quadratic Jordan algebras

Nonassociative rings (cites work)
cites work: On maximal subalgebras

Nonassociative rings (cites work)
cites work: Central polynomials for Jordan algebras. I

Nonassociative rings (cites work)
cites work: Maximal subalgebras of exceptional Jordan algebras

Nonassociative rings (cites work)
cites work: Point spaces in exceptional quadratic Jordan algebras

Nonassociative rings (cites work)
cites work: Polynomes d'algebres de Jordan et proprietes d'algebres de Jordan speciales

Nonassociative rings (cites work)
cites work: On Malcev algebras

Nonassociative rings (cites work)
cites work: Nonassociative P.I. algebras

Nonassociative rings (cites work)
cites work: L'injectivite de l'application de Dixmier pour les algèbres de Lie resolubles

Nonassociative rings (cites work)
cites work: Q4132692

Nonassociative rings (cites work)
cites work: Sur le semi-centre du corps enveloppant d'une algèbre de Lie

Nonassociative rings (cites work)
cites work: Algèbres enveloppantes des formes alternees et des algèbres de Lie

Nonassociative rings (cites work)
cites work: Rings with Idempotents in Their Nuclei

Nonassociative rings (cites work)
cites work: A Commutativity Theorem for Algebras

Nonassociative rings (cites work)
cites work: The Levitzki radical in associative and Jordan rings

Nonassociative rings (cites work)
cites work: The Prime Radical in Alternative Rings

Nonassociative rings (cites work)
cites work: On alternative rings and their attached Jordan rings

Nonassociative rings (cites work)
cites work: On alternative rings with involution

Nonassociative rings (cites work)
cites work: Jordan elements in a free associative algebra. I

Nonassociative rings (cites work)
cites work: On Antiflexible Algebras

Nonassociative rings (cites work)
cites work: On Generalizing Alternative Rings

Nonassociative rings (cites work)
cites work: A Note on Non-Associative Algebras Derived From Graphs

Nonassociative rings (cites work)
cites work: A theorem of semisimple antiflexible algebras

Nonassociative rings (cites work)
cites work: The radical property of nonassociative rings such that every homomorphic image has no nonzero left annihilating ideals

Nonassociative rings (cites work)
cites work: Model theory of alternative rings

Nonassociative rings (cites work)
cites work: Polynomial identities of nonassociative rings. I: The general structure theory of nonassociative rings, with emphasis on polynomial identities and central polynomials

Nonassociative rings (cites work)
cites work: Polynomial identities of nonassociative rings. II: Fine points of the structure theory

Nonassociative rings (cites work)
cites work: Polynomial identities of nonassociative rings. III: Applications

Nonassociative rings (cites work)
cites work: Q5662061

Nonassociative rings (cites work)
cites work: Q4777479

Nonassociative rings (cites work)
cites work: Q4192222

Nonassociative rings (cites work)
cites work: Yet Another Remark on the PoincarÉ-Birkhoff-Witt Theorem

Nonassociative rings (cites work)
cites work: On Reductive Lie Admissible Algebras

Nonassociative rings (cites work)
cites work: Jordan Algebras and Connections on Homogeneous Spaces

Nonassociative rings (cites work)
cites work: Nonimbedding theorems of Lie algebras

Nonassociative rings (cites work)
cites work: Q4774158

Nonassociative rings (cites work)
cites work: Lie-Admissible, Nodal, Noncommutative Jordan Algebras

Nonassociative rings (cites work)
cites work: Q4097062

Nonassociative rings (cites work)
cites work: Q4155039

Nonassociative rings (cites work)
cites work: Alternative rings with d.c.c.\,. III

Nonassociative rings (cites work)
cites work: Prime alternative rings. III

Nonassociative rings (cites work)
cites work: A standard jordan polynomial

Nonassociative rings (cites work)
cites work: Filtration techniques in the study of Lie algebras

Nonassociative rings (cites work)
cites work: Prime Generalized Alternative Rings I with Nontrivial Idempotent

Nonassociative rings (cites work)
cites work: The Wedderburn Principal Theorem for a Generalization of Alternative Algebras

Nonassociative rings (cites work)
cites work: The Wedderburn Principal Theorem for Generalized Alternative Algebras I

Nonassociative rings (cites work)
cites work: A Wedderburn Decomposition for Certain Generalized Right Alternative Algebras

Nonassociative rings (cites work)
cites work: Finite-dimensional locally (-1,1) algebras

Nonassociative rings (cites work)
cites work: Noncommutative Jordan Algebras of Capacity Two

Nonassociative rings (cites work)
cites work: Extending Jordan Ideals and Jordan Homomorphisms of Symmetric Elements in a Ring with Involution

Nonassociative rings (cites work)
cites work: Q5675868

Nonassociative rings (cites work)
cites work: Module Structure of Weyl Algebras

Nonassociative rings (cites work)
cites work: Q4155041

Nonassociative rings (cites work)
cites work: Q5603887

Nonassociative rings (cites work)
cites work: A Property of Locally Finite Lie Algebras

Nonassociative rings (cites work)
cites work: Bounds for the Dimensions of Certain Lie Algebras

Nonassociative rings (cites work)
cites work: Structure Theorems for a Class of Locally Finite Lie Algebras

Nonassociative rings (cites work)
cites work: Q5651354

Nonassociative rings (cites work)
cites work: Levi Factors of Infinite-Dimensional Lie Algebras

Nonassociative rings (cites work)
cites work: Finiteness conditions in soluble groups and Lie algebras

Nonassociative rings (cites work)
cites work: Q4402500

Nonassociative rings (cites work)
cites work: Verbal and Marginal Properties of Non-Associative Algebras

Nonassociative rings (cites work)
cites work: Soluble Lie algebras having finite-dimensional maximal subalgebras

Nonassociative rings (cites work)
cites work: Q4059082

Nonassociative rings (cites work)
cites work: Finitely presented infinite-dimensional simple Lie algebras

Nonassociative rings (cites work)
cites work: Q4120726

Nonassociative rings (cites work)
cites work: The minimal condition for subideals of Lie algebras implies that every ascendant subalgebra is a subideal

Nonassociative rings (cites work)
cites work: Q4088965

Nonassociative rings (cites work)
cites work: On the Frattini Subalgebra of a Lie Algebra

Nonassociative rings (cites work)
cites work: Minimal Nonnilpotent Solvable Lie Algebras

Nonassociative rings (cites work)
cites work: On a Theorem of D. W. Barnes

Nonassociative rings (cites work)
cites work: On saturated formations of solvable Lie algebras

Nonassociative rings (cites work)
cites work: Standard and Alternative Algebras with Completely Reducible Derivation Algebras

Nonassociative rings (cites work)
cites work: On Derivation Algebras of Malcev Algebras and Lie Triple Systems

Nonassociative rings (cites work)
cites work: On Derivation Algebras of Malcev Algebras

Nonassociative rings (cites work)
cites work: On nilpotent algebras

Nonassociative rings (cites work)
cites work: Nodal noncommutative Jordan algebras and Lie algebras in characteristic \(p>2\)

Nonassociative rings (cites work)
cites work: Enumeration Results in Nilpotent Algebras

Nonassociative rings (cites work)
cites work: On the Triviality of Homogeneous Algebras over an Algebraically Closed Field

Nonassociative rings (cites work)
cites work: On doubly homogeneous algebras

Nonassociative rings (cites work)
cites work: On homogeneous algebras

Nonassociative rings (cites work)
cites work: Rings of Invariant Polynomials for a Class of Lie Algebras

Nonassociative rings (cites work)
cites work: Sur les quotients premiers de l'algèbre enveloppante d'une algèbre de Lie résoluble

Nonassociative rings (cites work)
cites work: On Rings with Completely Alternative Commutators

Nonassociative rings (cites work)
cites work: On Rings Satisfying [ (a, b, c), d ] = 0

Nonassociative rings (cites work)
cites work: Right alternative rings

Nonassociative rings (cites work)
cites work: Right alternative rings with Peirce decomposition

Nonassociative rings (cites work)
cites work: Nil-semisimple right alternative algebras

Nonassociative rings (cites work)
cites work: Right alternative rings with minimal condition

Nonassociative rings (cites work)
cites work: Right Alternative Algebras and Wedderburn Principal Theorem

Nonassociative rings (cites work)
cites work: Q4053791

Nonassociative rings (cites work)
cites work: Radicals of infinite dimensional Lie algebras

Nonassociative rings (cites work)
cites work: Characterizations of radicals of infinite dimensional Lie algebras

Nonassociative rings (cites work)
cites work: The minimal condition for ascendant subalgebras of Lie algebras

Nonassociative rings (cites work)
cites work: Ascendantly coalescent classes and radicals of Lie algebras

Nonassociative rings (cites work)
cites work: Locally coalescent classes of Lie algebras

Nonassociative rings (cites work)
cites work: Locally ascendantly coalescent classes of Lie algebras

Nonassociative rings (cites work)
cites work: Lie algebras in which every ascendant subalgebra is a subideal

Nonassociative rings (cites work)
cites work: ON THE GENERATORS OF A NILPOTENT NON-ASSOCIATIVE ALGEBRA

Nonassociative rings (cites work)
cites work: A Frattini Theory for Algebras

Nonassociative rings (cites work)
cites work: Elementary Lie Algebras

Nonassociative rings (cites work)
cites work: The Frattini Subalgebras of Certain Infinite-Dimensional Soluble Lie Algebras

Nonassociative rings (cites work)
cites work: VARIETIES OF LIE ALGEBRAS

Nonassociative rings (cites work)
cites work: Centre-by-metabelian Lie algebras

Nonassociative rings (cites work)
cites work: Abelian-By-Nilpotent Varities of Lie Algebras

Nonassociative rings (cites work)
cites work: The center of the universal enveloping algebra of a Lie algebra in characteristic $p$

Nonassociative rings (cites work)
cites work: Q3213285

Nonassociative rings (cites work)
cites work: Q3050599

Nonassociative rings (cites work)
cites work: Free Lie algebras and free monoids. Bases of free Lie algebras and factorizations of free monoids

Nonassociative rings (cites work)
cites work: Q5658211

Nonassociative rings (cites work)
cites work: Q4774207

Nonassociative rings (cites work)
cites work: On Amitsur's condition D in radical theory

Nonassociative rings (cites work)
cites work: Q5662056

Nonassociative rings (cites work)
cites work: Radikale von separablen Algebren über Ringen

Nonassociative rings (cites work)
cites work: Homogene Polynomgesetze auf nichtassoziativen Algebren über Ringen.

Nonassociative rings (cites work)
cites work: Moduln und Radikale von nichtassoziativen Ringen

Nonassociative rings (cites work)
cites work: Injektive und projektive Moduln über nichtassoziativen Ringen

Nonassociative rings (cites work)
cites work: Co-semisimple modules and nonassociative v-rings

Nonassociative rings (cites work)
cites work: Nonassociative left regular and biregular rings

Nonassociative rings (cites work)
cites work: Separable Moduln von Algebren über Ringen.

Nonassociative rings (cites work)
cites work: Zentrale Bimoduln und separable Algebren

Nonassociative rings (cites work)
cites work: Erbliche moduln und nichtassoziative ringe

Nonassociative rings (cites work)
cites work: Tensor Products of Jordan Algebras

Nonassociative rings (cites work)
cites work: Q4106719

Nonassociative rings (cites work)
cites work: Q4106717

Nonassociative rings (cites work)
cites work: Q4129606

Nonassociative rings (cites work)
cites work: Q5650838

Nonassociative rings (full work available at URL)
full work available at URL: https://doi.org/10.1007/bf01255614

Nonassociative rings (OpenAlex ID)
OpenAlex ID: W4211143375