Nonassociative rings

DOI10.1007/BF01255614zbMath0486.17001OpenAlexW4211143375WikidataQ61586523 ScholiaQ61586523MaRDI QIDQ1164694

Yu. A. Bakhturin, Ivan Pavlovic Shestakov, Arkadii M. Slinko

Publication date: 1981

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01255614

zbMATH Keywords

surveyrepresentationsvarietiesJordan algebrasradicalsalternative ringsinfinite-dimensional Lie algebrasMal'tsev algebrasR Zh Matematika 1972-1978

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras (17-02) Lie algebras and Lie superalgebras (17Bxx) Jordan algebras (algebras, triples and pairs) (17Cxx) Other nonassociative rings and algebras (17Dxx)

Related Items

A note on the structure of complete alternative local algebras ⋮ Gauge group cohomology in the monopole sector of Yang–Mills theories

Cites Work

• Varieties generated by finite alternative rings
• On saturated formations of solvable Lie algebras
• Pseudo-coalescent classes of Lie algebras
• Nonassociative P.I. algebras
• On the Andrunakievich lemma for alternative rings
• Ordered Lie algebras
• Axioms for inversion in Jordan algebras
• Jordan algebras with finiteness conditions
• Nil-semisimple right alternative algebras
• Free alternative algebras
• Nilpotency in Jordan and right alternative algebras
• Injektive und projektive Moduln über nichtassoziativen Ringen
• Nilpotent ideals of Mal'tsev algebras
• Maximal subgroups of \(GL_{2n}(K), SL_{2n}(K), PGL_{2n}(K)\) and \(PSL_{2n}(K)\) associated with symplectic polarities
• Algorithmic problems for solvable Lie algebras
• Identities of finite Jordan \(\Phi\)-algebras
• Nicht assoziative separable Algebren über Ringen
• Prime spezielle Jordanringe mit Polynomidentität
• Prime, right alternative rings with an idempotent
• Structures of the degrees of unsolvability of index sets
• Example of a variety of solvable alternative algebras over a field of characteristic 2 having no finite basis of identities
• Finitely generated Mal'tsev algebras
• Generalization of right alternative rings
• Reelle Jordanalgebren mit endlicher Spur
• Composition algebras over a field with a discrete valuation
• Simple periodic rings
• Primideale in Einhüllenden auflösbarer Lie-Algebren (Beschreibung durch Bahnenräume)
• Generalization of alternative and commutative rings
• A generalization of (-1,1) rings
• Oresche Teilmengen in Einhüllenden Algebren. (Ore subsets in enveloping algebras)
• Axioms for finite and infinite classical Lie algebras
• Lokal kompakte Jordan-Divisionsringe
• An elementary proof of the Baker-Campbell-Hausdorff-Dynkin formula
• L'injectivite de l'application de Dixmier pour les algèbres de Lie resolubles
• Zur Theorie endlich dimensionaler alternativer Algebren
• Wedderburn's theorem on the splitting radical for a (-1,1)-algebra
• Endlichwertige Vielfachenketten in Ringen mit Associativungleichungen
• Infinite subrings of infinite rings and near-rings
• More on a generalization of commutative and alternative rings
• Locally coalescent classes of Lie algebras
• On prime ideals of Lie algebras
• On the Gel'fand-Kirillov conjecture
• On identities in Lie algebras
• Zur Konstruktion homogener Kegel
• Espace des ideaux primitifs de l'algèbre enveloppante d'une algèbre de Lie nilpotente
• Descending chain conditions for Lie algebras of prime characteristic
• The structure of Jordan H-algebras
• Almost alternative algebras
• Finitely presented infinite-dimensional simple Lie algebras
• Right alternative rings
• Right alternative rings with Peirce decomposition
• Die Struktur endlicher schwach abgeschlossener Jordanalgebren. I: Stetige Jordanalgebren
• Die Struktur endlicher schwach abgeschlossener Jordanalgebren. II: Diskrete Jordanalgebren
• Differentialgleichungen in Jordantripelsystemen
• Finite-dimensional left Moufang algebras
• Finitely based identities of nonassociative rings
• Prime right-alternative rings
• The Levitzki radical in associative and Jordan rings
• Locally ascendantly coalescent classes of Lie algebras
• Über primitive Ideale in der Einhüllenden einer halbeinfachen Lie- Algebra
• Conditions for alternative rings to be Boolean
• A commutativity theorem for non-associative algebras over a principal ideal domain
• Structure groups and Lie algebras of Jordan algebras of symmetric elements of associative algebras with involution
• On Levi factors of derivation algebras and the radical embedding problem
• The radical of a Jordan algebra and extensions of the base field
• Generalized right alternative rings
• Central polynomials for Jordan algebras. I
• Central polynomials for Jordan algebras. II
• Der Wedderburnsche Hauptsatz für alternative Tripelsysteme und Paare
• On Amitsur's condition D in radical theory
• Some varieties of Lie algebras
• Exterior differentiation in Lie algebras
• Right nilpotency in right alternative rings
• On generalizations of alternative algebras
• On finite algebras of prime dimension without subalgebras
• Right representations of algebras
• Semi-prime generalized right alternative rings
• Identities defining a certain variety of right-alternative algebras
• Right alternative rings with minimal condition
• Sur la classification des idéaux primitifs dans l'algèbre enveloppante d'une algèbre de Lie semi-simple
• Primitive vollprime Ideale in der Einhüllenden von \(\mathfrak {so}(5,\mathbb{C})\)
• Definition einer Dixmier-Abbildung für \(\mathfrak{sl}(n,\mathbb C)\)
• The Brandt condition in Cayley algebras
• Imbedding of solvable Lie algebras of countable rank in solvable Lie algebras with two generators
• On an infinite-dimensional Lie algebra satisfying the maximal condition for subalgebras
• Associators in simple algebras
• Reduced simple Jordan algebras of degree three over a field with a discrete valuation
• Model theory of alternative rings
• Lie algebras with descending chain condition
• Jordan-Divisionsalgebren und Bewertungen
• Radicals and nilpotent elements of free alternative algebras
• Finite basis theorem for rings and algebras satisfying a central condition
• Pseudo-coalescent and locally pseudo-coalescent classes of Lie algebras
• Separable Jordan pairs over commutative rings
• Generalized standard rings
• The structure of autodistributive algebras
• Prime nonassociative algebras
• Three-dimensional division algebras
• On Lie algebras having a primitive universal enveloping algebra
• Simple (\(\gamma\delta\)) algebras are associative
• Moduln und Radikale von nichtassoziativen Ringen
• On homogeneous algebras
• On doubly homogeneous algebras
• Semimodular Lie algebras
• Maximal subalgebras of exceptional Jordan algebras
• Point spaces in exceptional quadratic Jordan algebras
• A locally nilpotent radical in some classes of right-alternative rings
• Lie rings and the Engel condition
• Relative Invarianten und nichtassoziative Algebren
• Generalized simple noncommutative Jordan algebras of degree two
• Subalgebras of finitely presented solvable Lie algebras
• A note on Witt algebras
• Conditions that guarantee that all nilpotents commute with every element of an alternative ring
• Saturated formations of soluble Lie algebras in characteristic O
• Primitive ideals in enveloping algebras
• A class of nonassociative algebras with involution containing the class of Jordan algebras
• Nonassociative left regular and biregular rings
• Subalgebras of nondegenerate commutative QM-algebras
• On the nilpotency of generalized alternative algebras
• Algèbres enveloppantes des formes alternees et des algèbres de Lie
• On a class of 2-varieties
• Some remarks on the center of the universal enveloping algebra of a classical simple Lie algebra
• Zur Arithmetik der Jordan-Paare
• On algebraic power-associative and Jordan algebras with semi-normal functionals
• Three dimensional homogeneous algebras
• Polynomial identities of nonassociative rings. I: The general structure theory of nonassociative rings, with emphasis on polynomial identities and central polynomials
• Polynomial identities of nonassociative rings. II: Fine points of the structure theory
• On infinite-dimensional algebras satisfying the maximal condition for subalgebras
• Finiteness conditions for Abelian ideals and nilpotent ideals in Lie algebras
• Zentrale Bimoduln und separable Algebren
• Some radical properties of rings with (a,b,c) = (c,a,b)
• A characterization of the saturated closure of a homomorph of Lie algebras
• Scalar dependent algebras in the alternative sense
• The minimal condition for ascendant subalgebras of Lie algebras
• Semisimple nil algebras of type \(\delta\)
• Representations of solvable Lie algebras. III: Cancellation theorems
• Lie algebras in which every ascendant subalgebra is a subideal
• On nilpotent algebras
• Polynomial identities of nonassociative rings. III: Applications
• The Lie center of binary-Lie algebras
• Wedderburnzerlegung für Jordan-Paare
• Eine Konstruktion von Jordan-Algebren
• Levi's theorem for Mal'cev algebras
• The lattices of varieties of lattice-ordered groups and Lie algebras
• Free Lie algebras and free monoids. Bases of free Lie algebras and factorizations of free monoids
• Derivations of monocomposition algebras
• Heredity of radicals of rings of type \((\gamma,\delta)\)
• A problem of Shirshov
• Simple right alternative rings
• Generalization of alternative and Mal'tsev algebras
• Intersection of subalgebras of a free Lie algebra
• The minimal condition for subideals of Lie algebras implies that every ascendant subalgebra is a subideal
• Bases of a free Lie algebra
• On alternative rings and their attached Jordan rings
• Properties of the join of varieties of algebras
• A preparation theorem for the prime spectrum of a semisimple Lie algebra
• Identities of generalized accessible rings
• Extension of Lie algebra orderings
• Finite-dimensional algebras with infinite bases of identities
• Classification of locally compact Jordan division rings
• The subalgebras of free Lie \(p\)-algebras
• Lie algebras in which every finitely generated subalgebra is a subideal
• Finite basis property of varieties with binomial identity
• Radical extensions of Jordan rings
• Produkte positiver Elemente in formal-reellen Jordan-Algebren
• Lie algebras in which every n-generator subalgebra is an n-step subideal
• Rings of quotients for a class of special Jordan rings
• The characterization of (-1,1) rings
• Nonimbedding theorems of Lie algebras
• On local finiteness in the sense of Shirshov
• Supernilpotent radicals of \((-1, 1)\)-rings
• Densely embedded ideals of Lie algebras
• Malcev's theorem for alternative algebras
• On prime Jordan rings H(R) with chain condition
• Radikale von separablen Algebren über Ringen
• Homotopes of alternative algebras
• Commutative associative rings and anti-flexible rings
• The Levitzki radical in varieties of algebras
• Strong radical properties of alternative and associative rings
• Generalization of alternative rings. I, II
• Macdonald's theorem for quadratic Jordan algebras
• Alternative rings with d.c.c.\,. III
• Right alternative rings with idempotents
• Halbeinfache quadratische Algebren und antikommutative Algebren mit assoziativen Bilinearformen
• On nearly commutative degree one algebras
• Identitäten und das Radikal in Jordan-Tripelsystemen. (Identities and the radical in a Jordan triple system)
• Homotopes of noncommutative Jordan algebras
• A generalization of commutative and associative rings
• Nilpotency of right alternating rings
• Alternative Tripelsysteme
• Nodal noncommutative Jordan algebras and Lie algebras in characteristic \(p>2\)
• On primitive and prime antiflexible rings
• Prime alternative rings. III
• Jordan elements in a free associative algebra. I
• On prime ideals and primary decompositions in a nonassociative ring
• A characterization of the Jacobson-Smiley radical
• A characterization of the radical of a Jordan algebra
• Nil systems and radicals in alternative Artin rings
• On a duality for metabelian Lie algebras
• On Malcev algebras
• Jordan Algebras and Connections on Homogeneous Spaces
• Verbal and Marginal Properties of Non-Associative Algebras
• Soluble Lie algebras having finite-dimensional maximal subalgebras
• A structure theory of Jordan pairs
• Existence and Conjugacy of Cartan Subalgebras of Jordan Algebras
• Finiteness Conditions on Soluble Lie Algebras
• Duality Theories for Metabelian Lie Algebras
• Semi-Isotopies and the Lattice of Inner Ideals of Certain Quadratic Jordan Algebras
• Contributions to genetic algebras II
• Filtration techniques in the study of Lie algebras
• A Wedderburn Theorem for Alternative Algebras With Identity Over Commutative Rings
• Nodal Algebras Defined by Skew-Symmetric Bilinear Forms
• A GENERAL THEORY OF JORDAN RINGS
• On free alternative rings
• On Reductive Lie Admissible Algebras
• On the Frattini Subalgebra of a Lie Algebra
• Simple Nearly Antiflexible Algebras Have Unity Elements
• VARIETIES OF LIE ALGEBRAS
• A Property of Locally Finite Lie Algebras
• A Note on Lie-Admissible Nilalgebras
• On Algebras Satisfying the Identity (yx)x + x(xy) = 2(xy)x
• Bounds for the Dimensions of Certain Lie Algebras
• Lie-Admissible, Nodal, Noncommutative Jordan Algebras
• Minimal Nonnilpotent Solvable Lie Algebras
• On a Generalization of Alternative and Lie Rings
• The Components of the Automorphism Group of a Jordan Algebra
• On the Lie Algebra of a Burnside Group of Exponent 5
• Hereditary Radicals in Jordan Rings
• On Scalar Dependent Algebras
• Normed Right Alternative Algebras Over the Reals
• Über eine Klasse flexibler quadratischer Divisionsalgebren.
• Nil Algebras Satisfying an Identity of Degree Three
• On Rings Satisfying [ (a, b, c), d = 0]
• On Rings with Completely Alternative Commutators
• Über verallgemeinerte Cayley-Dickson Algebren.
• Structure Theorems for a Class of Locally Finite Lie Algebras
• On the Wedderburn Principal Theorem for Nearly (1, 1) Algebras
• ON THE GENERATORS OF A NILPOTENT NON-ASSOCIATIVE ALGEBRA
• Quadratic Jordan Algebras and Cubing Operations
• Representations of Quadratic Jordan Algebras
• Jordan triple systems, 𝑅-spaces, and bounded symmetric domains
• Noncommutative Jordan Rings
• Radicals and Bimodules
• On a Theorem of D. W. Barnes
• Rings of Invariant Polynomials for a Class of Lie Algebras
• A Note on Quadratic Jordan Algebras of Degree 3
• On One-Relator Associative Algebras
• SOLUBLE VARIETIES OF LIE ALGEBRAS
• Prime Generalized Alternative Rings I with Nontrivial Idempotent
• Some Classes of Flexible Lie-Admissible Algebras
• Noncommutative Jordan Division Algebras
• The center of the universal enveloping algebra of a Lie algebra in characteristic $p$
• The Prime Radical in Special Jordan Rings
• Associo-Symmetric Algebras
• Noncommutative Jordan Algebras of Capacity Two
• A Generalization of Commutative and Alternative Rings II
• Some Associativity Conditions for Algebras
• Koecher's Principle for Quadratic Jordan Algebras
• Extending Jordan Ideals and Jordan Homomorphisms of Symmetric Elements in a Ring with Involution
• Computer Approaches to the Representations of Lie Algebras
• Finitely Generated Lie Algebras
• Levi Factors of Infinite-Dimensional Lie Algebras
• Free Lie Algebras and Free Groups
• Alternative Rings Without Nilpotent Elements
• On Antiflexible Algebras
• Introduction to Lie Algebras and Representation Theory
• Polynomes d'algebres de Jordan et proprietes d'algebres de Jordan speciales
• Quadratic Jordan Algebras Whose Elements are all Invertible or Nilpotent
• Finiteness conditions in soluble groups and Lie algebras
• A Unification of the Theories of Jordan and Alternative Algebras
• A Note on Finite Dimensional Subideals of Lie Algebras
• On the Cartesian subalgebras of a free Lie sum of Lie algebras
• Nil semi-simple (-1,1) rings
• A generalization of noncommutative Jordan algebras
• Quotients simples de l'algèbre enveloppante de \({\mathfrak sl}_2\)
• Submodules of Cayley algebras
• The Frattini argument for Lie algebras
• An integral basis theorem for Jordan algebras
• Power-associative monocomposition algebras
• A locally nilpotent radical of nonassociative rings
• Über Lie-Ringe von Gruppen und ihre universellen Enveloppen
• Alternative algebras satisfying polynomial identities
• Action d'un groupe algébrique dans l'espace des ideaux primitifs d'une algèbre enveloppante
• Generalizations of nilpotence and solvability in universal classes of algebras
• Characterizations of radicals of infinite dimensional Lie algebras
• Ascendantly coalescent classes and radicals of Lie algebras
• Radicals of infinite dimensional Lie algebras
• An example of unsolvable just non-cross varieties of groups
• Jordan \(^*\)-homomorphisms between reduced Banach \(^*\)-algebras
• Locally rigth-nilpotent radical in the class of right-alternative rings
• Synthesis of optimal controls for amplitude-impulse systems in the problem of minimizing the mean value of a functional of quadratic type
• On Identical Relations in Free Polynilpotent Lie Algebras
• On centers of alternative algebras
• Erbliche moduln und nichtassoziative ringe
• On Homomorphisms of Soluble Lie Algebras
• Standard and Alternative Algebras with Completely Reducible Derivation Algebras
• The Wedderburn Principal Theorem for a Generalization of Alternative Algebras
• Symplectic structure in the enveloping algebra of a Lie algebra
• On the Constructibility of Prime Characteristic Periodic Associative and Jordan Rings
• Generalizing alternative rings
• Chain Conditions on Symmetric Elements
• On a Wedderburn Principal Theorem for the Flexible Algebras
• Proof of the Gelfand-Kirillov Conjecture for Solvable Lie Algebras
• Sur le semi-centre du corps enveloppant d'une algèbre de Lie
• Jordan Rings with Involution
• A Generalization of Commutative and Alternative Rings. IV
• On Semiprime Jordan Rings H(R) with ACC
• Goldie-Like Conditions on Jordan Matrix Rings
• The radical property of nonassociative rings such that every homomorphic image has no nonzero left annihilating ideals
• Identities in the universal envelopes of Lie algelras
• The derivations of M_n(C)
• Locally (-1,1) Rings
• Direct Product Decomposition of Alternative Rings
• Enumeration Results in Nilpotent Algebras
• A Characterisation of von Neumann Regular Jordan Triple Systems
• Generalization of Right Alternative Rings
• Rings with Idempotents in Their Nuclei
• On Generalizing Alternative Rings
• Subinvariance in Solvable Lie Algebras
• The Derivation Algebra of M₄⁸(C)
• A free (?1, 1)?algebra with two generators
• The Frattini Subalgebras of Certain Infinite-Dimensional Soluble Lie Algebras
• Absolute Zero Divisors and Local Nilpotence in Alternative Algebras
• On Commutative Power-Associative Nilalgebras of Low Dimension
• On the associativity and commutativity of algebras over commutative rings
• Homogene Polynomgesetze auf nichtassoziativen Algebren über Ringen.
• Power-Associativity of Antiflexible Rings
• Ideals of Coadjoint Orbits of Nilpotent Lie Algebras
• Abelian-By-Nilpotent Varities of Lie Algebras
• Exceptional Jordan division algebras over a field with a discrete valuation.
• The Wedderburn Principal Theorem for Generalized Alternative Algebras I
• Prime goldie-like jordan matrix rings and the common multiple property
• A Commutativity Theorem for Algebras
• Representations of Solvable Lie Algebras and the Gelfand-Kirillov Conjecture
• Representations of solvable Lie algebras. II. Twisted group rings
• On Cayley-Dickson Rings
• A Note on Non-Associative Algebras Derived From Graphs
• Correction and comment concerning “on derivations and holomorphs of nilpotent Lie algebras”
• A Note on Generalizing Alternative Rings
• Polarisation dans les algèbres de Lie. II
• The First Whitehead Lemma for Malcev Algebras
• Quasi-Ideals of Lie Algebras I
• Quasi-Ideals of Lie Algebras II
• The Prime Radical in Alternative Rings
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• On the subalgebras of certain finitely presented algebras
• On Derivation Algebras of Malcev Algebras and Lie Triple Systems
• A generalization of anti-commutative rings arising from 2-varieties
• Nilpotency of the associator ideal of a free finitely generated (−1, 1) ring
• On the Triviality of Homogeneous Algebras over an Algebraically Closed Field
• Quadratic Jordan Algebras whose Elements are all Regular or Nilpotent
• The arithmetics of quadratic Jordan algebras
• Local Jordan Algebras
• Algebras Satisfying Congruence Relations
• A Characteristically Nilpotent Lie Algebra Can be a Derived Algebra
• Alternator and Associator Ideal Algebras
• A Wedderburn Decomposition for Certain Generalized Right Alternative Algebras
• The structure of algebraic jordan algebras without nonzero nilpotent elements
• On the Levitzki Radical
• On Semiprime Ample Jordan Rings
• A Classification of 2-Varieties
• A Subalgebra Condition in Lie-Admissible Algebras
• A note on train algebras
• On Prime Goldie-Like Quadratic Jordan Matrix Algebras⁽¹⁾
• A wild automorphism ofUsl(2)
• Speciality of jordan triple systems
• On Derivation Algebras of Malcev Algebras
• Co-semisimple modules and nonassociative v-rings
• A standard jordan polynomial
• A remark on a paper of fuchs and szele
• The Centralizer of a Cartan Subalgebra of a Jordan Algebra
• On Inner Ideals and Ad-Nilpotent Elements of Lie Algebras
• Solvable Assosymmetric Rings are Nilpotent
• Rings with x(yz)=z(yx)
• Representations of Solvable Lie Algebras. IV: An Elementary Proof of The (U/P) E -Structure Theorem
• A Generalization of the Gelfand-Kirillov Conjecture
• Second Commutant Theorems in Enveloping Algebras
• A generalization of anti-commutative rings arising from 2-varieties
• Free Lie Algebras as Modules Over Their Enveloping Algebras
• Proc. Nat. Acad. Sei
• On alternative rings with involution
• Separable Moduln von Algebren über Ringen.
• On the structure group of a split semisimple jordan algebra I
• On the structure group of a split semisimple jordan algebra II
• Lie Rings of Derivations of Associative Rings
• A theorem of semisimple antiflexible algebras
• Module Structure of Weyl Algebras
• Speciality and reflexivity of quadratic jordan algebras
• Malcev's theorem for jordan algebras
• The Lower Central Series of the Group 〈x, y: x p = 1 〉
• Finite-dimensional locally (-1,1) algebras
• LOCAL FINITENESS OF PERIODIC SUBLOOPS OF AN ALTERNATIVE PI-RING
• Sur les quotients premiers de l'algèbre enveloppante d'une algèbre de Lie résoluble
• Prime commutative power-associative algebras with descending chain condition
• Gelfand-Kirillov Dimension for the Annihilators of Simple Quotients of Verma Modules
• Conjugacy of idempotents in jordan pairs
• Simple Lie Rings of Derivations of Commutative Rings
• Prime locally (-1,1) rings with chain condition
• Right Alternative Algebras and Wedderburn Principal Theorem
• Solvability and nilpotency in generalized alternative rings
• Tensor Products of Jordan Algebras
• Quasiregular ideals in finitely generated alternative rings
• The radical and representations of alternative rings
• On Derivations and Holomorphs of Nilpotent Lie Algebras
• Scalar Dependent Algebras
• Jordan Algebras with Minimum Condition
• A Frattini Theory for Algebras
• Elementary Lie Algebras
• Centre-by-metabelian Lie algebras
• Lattice automorphisms of semi-simple Lie algebras
• On the Classification of Metabelian Lie Algebras
• Yet Another Remark on the PoincarÉ-Birkhoff-Witt Theorem
• On Maximally Central Algebras
• On nilpotent Lie algebras
• On maximal subalgebras
• Speciality of quadratic Jordan algebras
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