A retrospect of the research in nonassociative algebras in IME-USP
type: Item
instance of: scholarly article
title: A retrospect of the research in nonassociative algebras in IME-USP
zbMATH Open document ID: 1502.17001
author: Luiz Antonio Peresi
author: Lucia S. I. Murakami
author: Ivan Shestakov
published in: São Paulo Journal of Mathematical Sciences
publication date: 2022-09-30T00:00:00Z
Mathematics Subject Classification ID: 17-02
Mathematics Subject Classification ID: 17-03
zbMATH DE Number: 7595668
zbMATH Keywords: nonassociative algebras
zbMATH Keywords: superalgebras
zbMATH Keywords: loops
MaRDI profile type: Publication
full work available at URL: s40863-021-00248-x
OpenAlex ID: W3185528010
Wikidata QID: Q121627484
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cites work: Cyclic extensions of finite simple groups
cites work: Finite-dimensional non-associative algebras and codimension growth

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Jordan Superalgebras of Type and the Wedderburn Principal Theorem (WPT)

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Wedderburn principal theorem for Jordan superalgebras. I

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Special train algebras arising in genetics II

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: A radical splitting theorem for bernstein algebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Q4761662

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Graphs and nonassociative algebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Solvability of commutative automorphic loops

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Algebraic Bol loops

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Free Steiner triple systems and their automorphism groups

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Nilpotent Steiner loops of class 2

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Automorphic loops arising from module endomorphisms

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Q3785018

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: On simple Lie algebras of dimension seven over fields of characteristic \(2\)

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Simple Classical Lie Algebras in Characteristic 2 and Their Gradations, II

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Description of simple modules for Schur superalgebra \(S(2|2)\)

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Description of costandard modules for Schur superalgebra S(2|2) in positive characteristic

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Description of costandard modules for Schur superalgebraS(2|1) in positive characteristic

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Normal enveloping algebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Automorphism groups of diagonal \(\mathbb{Z}_p\)-forms of the Lie algebra \(sl_2(\mathbb{Q}_p)\), \(p > 2\)

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Speciality of Lie-Jordan algebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: A characterization of Lie algebras of skew-symmetric elements

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Commutative Moufang loops and alternative algebras.

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Lagrange's theorem for Moufang loops

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: GROUPS WITH TRIALITY

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Sylow's theorem for Moufang loops.

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Abelian-by-Cyclic Moufang Loops

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Multiplication formulas in Moufang loops

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Solutions of the Bernstein problem in the nonregular case

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: On Commutative Power-Associative Nilalgebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: On Power-Associative Nilalgebras of Dimension N and Nilindex N-1

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: On power-associative nilalgebras of nilindex and dimension \(n\)

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Commutative Power-Associative Algebras of Nilindex Four

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Commutative power-associative nilalgebras of nilindex 5

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: The bar-radical of baric algebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Some graded identities of the Cayley–Dickson algebra

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Solvability of the ideal of all weight zero elements in bernstein algebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Semi-prime Bernstein algebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Identities of Cayley-Dickson algebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: A Nonzero Element of Degree 7 in the Center of the Free Alternative Algebra

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Q5403764

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: The Nucleus of the Free Alternative Algebra

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Nuclear Elements of Degree 6 in the Free Alternative Algebra

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Special identities for Bol algebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Q3972228

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Genetic Algebras Satisfying Bernstein's Stationarity Principle

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Derivations of the Lie algebra of infinite strictly upper triangular matrices over a commutative ring

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Q3215099

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Q4287368

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Q3607795

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Deformations of Jordan algebras of dimension four

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: The variety of three-dimensional real Jordan algebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Geometric classification of nilpotent Jordan algebras of dimension five

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: On the free Jordan algebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Representation type of Jordan algebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Q5354664

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: On the Tits-Kantor-Koecher construction of unital Jordan bimodules

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Q3560707

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Q3655299

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Free generic Poisson fields and algebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Finite basis property of identities of associative algebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Q3545570

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: The Freiheitssatz for generic Poisson algebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: On associative representations of non-associative algebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: A criterion for finitely generated Bernstein algebras to be genetic

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Basic superranks for varieties of algebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: An infinite dimensional affine nil algebra with finite Gelfand-Kirillov dimension

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: On a construction of self-dual gauge fields in seven dimensions

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: ASSOCIATIVE NIL-ALGEBRAS OVER FINITE FIELDS

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Representations of exceptional simple alternative superalgebras of characteristic 3

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: REPRESENTATIONS OF EXCEPTIONAL SIMPLE JORDAN SUPERALGEBRAS OF CHARACTERISTIC 3#

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Kronecker factorization theorems for alternative superalgebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Q4003177

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Polynomial and Poisson dependence in free Poisson algebras and free Poisson fields

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: JORDAN SUPERALGEBRAS DEFINED BY BRACKETS

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Jordan bimodules over the superalgebras 𝑃(𝑛) and 𝑄(𝑛)

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: PBW-Pairs of Varieties of Linear Algebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Hopf algebras in non-associative Lie theory

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Nilpotent Sabinin algebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: A non-associative Baker-Campbell-Hausdorff formula

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Finite-dimensional right alternative superalgebras with semisimple strongly alternative even part

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Irreducible unital right alternative bimodules

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Right alternative bimodules over Cayley algebra and coordinatization theorem

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Prime \((-1,1)\) and Jordan monsters and superalgebras of vector type

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Constants of partial derivations and primitive operations

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: On baric algebras with prescribed automorphisms

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: A note on duplication of algebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: On derivations of baric algebras with prescribed automorphisms

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Nilpotency in Bernstein algebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Q5709311

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: An envelope for Malcev algebras.

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Q3007341

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Co-Moufang deformations of the universal enveloping algebra of the algebra of traceless octonions

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Examples of self-iterating Lie algebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Q3408254

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Nil graded self-similar algebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: On Right Alternative Superalgebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Noncommutative Jordan superalgebras of degree \(n > 2\)

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Noncommutative Jordan superalgebras of degree \(n \geq 2\)

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Structurable superalgebras of Cartan type

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Structurable superalgebras of Cartan type

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Simple finite-dimensional noncommutative Jordan superalgebras of characteristic 0

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Simple finite-dimensional modular noncommutative Jordan superalgebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Algebraic structure of genetic inheritance

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Noetherianness of wreath products of Abelian Lie algebras with respect to equations of universal enveloping algebra

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Q3808801

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: CONSTRUCTION OF NON-FINITELY BASED T-IDEALS

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Superalgebras and counterexamples

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
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A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Every Akivis algebra is linear

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: FREE MALCEV SUPERALGEBRA ON ONE ODD GENERATOR

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Moufang loops and alternative algebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Q3552587

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Associative identities of octonions

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: On Commuting U-Operators in Jordan Algebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Q3380100

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: On the radical of a free Malcev algebra

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Q5484194

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Irreducible bimodules over alternative algebras and superalgebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Automorphic equivalence of the representations of Lie algebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Free Akivis algebras, primitive elements, and hyperalgebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: The Nagata automorphism is wild

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Poisson brackets and two-generated subalgebras of rings of polynomials

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: The tame and the wild automorphisms of polynomial rings in three variables

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Polynomial Identities of Finite Dimensional Simple Algebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Some examples of nil Lie algebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: A finite presentation of Jordan algebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Speciality of Malcev superalgebras on one odd generator

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: The Universal Multiplicative Envelope of the Free Malcev Superalgebra on One Odd Generator

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: THE FREE ALTERNATIVE SUPERALGEBRA ON ONE ODD GENERATOR

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Skew-symmetric identities of octonions

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Irreductible representations of the simple Jordan superalgebra of Grassmann Poisson bracket

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Rings of constants of linear derivations on Fermat rings

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Q3869125

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: The coordinate ring of an \(n\)-dimensional sphere and some examples of differentially simple algebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: The Chevalley and Costant theorems for Mal’tsev algebras

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: A base of the free alternative superalgebra on one odd generator

A retrospect of the research in nonassociative algebras in IME-USP (cites work)
cites work: Invariants of \(\mathrm G_2\) and Spin(7) in positive characteristic

A retrospect of the research in nonassociative algebras in IME-USP (DOI)
DOI: 10.1007/S40863-021-00248-X