A retrospect of the research in nonassociative algebras in IME-USP (Q2082030)

scientific article; zbMATH DE number 7595668

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English	A retrospect of the research in nonassociative algebras in IME-USP	scientific article; zbMATH DE number 7595668

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instance of

scholarly article

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title

A retrospect of the research in nonassociative algebras in IME-USP (English)

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São Paulo Journal of Mathematical Sciences

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publication date

30 September 2022

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zbMATH Keywords

nonassociative algebras

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superalgebras

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loops

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s40863-021-00248-x

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cites work

Local algebras of a multidimensional three-web

0 references

A class of nonassociative algebras with involution containing the class of Jordan algebras

0 references

Central Quotients and Coverings of Steinberg Unitary Lie Algebras

0 references

Commuting $U$-operators in Jordan algebras

0 references

Commuting $U$-operators and nondegenerate imbeddings of Jordan systems

0 references

ON SPECIALITY OF BINARY-LIE ALGEBRAS

0 references

Jordan gradings on associative algebras.

0 references

GRADINGS OF SIMPLE JORDAN ALGEBRAS AND THEIR RELATION TO THE GRADINGS OF SIMPLE ASSOCIATIVE ALGEBRAS

0 references

Q3436158

0 references

Gradings on simple Jordan and Lie algebras

0 references

COMMUTATIVE AUTOMORPHIC LOOPS OF ORDER p3

0 references

The free commutative automorphic $2$-generated loop of nilpotency class $3$

0 references

Branch rings, thinned rings, tree enveloping rings.

0 references

Lie methods in growth of groups and groups of finite width

0 references

Counterexamples to the Specht problem

0 references

On nilpotency of the barideal of a bernstein algebra

0 references

On identities of baric algebras and superalgebras

0 references

Polynomial identities of Bernstein algebras of small dimension

0 references

Q3081724

0 references

Kimmerle conjecture for the Held and O'Nan sporadic simple groups

0 references

Filtered multiplicative bases of restricted enveloping algebras

0 references

On filtered multiplicative bases of some associative algebras.

0 references

Q3633590

0 references

Classification of Trilinear Operations

0 references

An application of lattice basis reduction to polynomial identities for algebraic structures

0 references

Nonhomogeneous subalgebras of Lie and special Jordan superalgebras

0 references

Polynomial identities for the ternary cyclic sum

0 references

Special Identities for Quasi-Jordan Algebras

0 references

Higher identities for the ternary commutator

0 references

Malcev dialgebras

0 references

Polynomial Identities for Bernstein Algebras of Simple Mendelian Inheritance

0 references

On Free Sabinin Algebras

0 references

Q4335984

0 references

Q4294170

0 references

Q4324534

0 references

Low Dimensional Bernstein-Jordan Algebras

0 references

On the Structure of Bernstein Algebras

0 references

On the derivations of gametic algebras for polyploidy with multiple alleles

0 references

On the derivation algebra of zygotic algebras for polyploidy with multiple alleles

0 references

Shape identities in genetic algebras

0 references

Q3537779

0 references

Indecomposable baric algebras

0 references

Indecomposable baric algebras. II

0 references

A class of exceptional bernstein algebras associated to graphs1

0 references

On the multiplication algebra of a bernstein algebra*

0 references

On idempotents and isomorphisms of multiplication algebras of bernstein algebras

0 references

TWO NUMERICAL INVARIANTS FOR BERNSTEIN ALGEBRAS

0 references

Some properties of the automorphisms of a Bernstein algebra

0 references

Invariance of dimension ofp-subspaces in bernstein algebras*

0 references

The multiplication algebra of a bernstein algebra: basic results

0 references

The radical in alternative baric algebras

0 references

Locally nilpotent derivations and automorphisms of free associative algebra with two generators

0 references

Q3901626

0 references

Nilpotence of a class of commutative power-associative nilalgebras

0 references

Structurable Superalgebras of Classical Type

0 references

The Wedderburn b-decomposition for a class of almost alternative baric algebras

0 references

The Bar-Radical of a Class of Almost Alternative Baric Algebras

0 references

Q5717186

0 references

Loop of formal diffeomorphisms and Faà di Bruno coloop bialgebra

0 references

Cyclic extensions of finite simple groups

0 references

Finite-dimensional non-associative algebras and codimension growth

0 references

Jordan Superalgebras of Type and the Wedderburn Principal Theorem (WPT)

0 references

Wedderburn principal theorem for Jordan superalgebras. I

0 references

Special train algebras arising in genetics II

0 references

A radical splitting theorem for bernstein algebras

0 references

Q4761662

0 references

Graphs and nonassociative algebras

0 references

Solvability of commutative automorphic loops

0 references

Algebraic Bol loops

0 references

Free Steiner triple systems and their automorphism groups

0 references

Nilpotent Steiner loops of class 2

0 references

Automorphic loops arising from module endomorphisms

0 references

Q3785018

0 references

On simple Lie algebras of dimension seven over fields of characteristic $2$

0 references

Simple Classical Lie Algebras in Characteristic 2 and Their Gradations, II

0 references

Description of simple modules for Schur superalgebra $S(2|2)$

0 references

Description of costandard modules for Schur superalgebra S(2|2) in positive characteristic

0 references

Description of costandard modules for Schur superalgebraS(2|1) in positive characteristic

0 references

Normal enveloping algebras

0 references

Automorphism groups of diagonal $\mathbb{Z}_p$-forms of the Lie algebra $sl_2(\mathbb{Q}_p)$, $p > 2$

0 references

Speciality of Lie-Jordan algebras

0 references

A characterization of Lie algebras of skew-symmetric elements

0 references

Commutative Moufang loops and alternative algebras.

0 references

Lagrange's theorem for Moufang loops

0 references

GROUPS WITH TRIALITY

0 references

Sylow's theorem for Moufang loops.

0 references

Abelian-by-Cyclic Moufang Loops

0 references

Multiplication formulas in Moufang loops

0 references

Solutions of the Bernstein problem in the nonregular case

0 references

On Commutative Power-Associative Nilalgebras

0 references

On Power-Associative Nilalgebras of Dimension N and Nilindex N-1

0 references

On power-associative nilalgebras of nilindex and dimension $n$

0 references

Commutative Power-Associative Algebras of Nilindex Four

0 references

Commutative power-associative nilalgebras of nilindex 5

0 references

The bar-radical of baric algebras

0 references

Some graded identities of the Cayley–Dickson algebra

0 references

Solvability of the ideal of all weight zero elements in bernstein algebras

0 references

Semi-prime Bernstein algebras

0 references

Identities of Cayley-Dickson algebras

0 references

A Nonzero Element of Degree 7 in the Center of the Free Alternative Algebra

0 references

Q5403764

0 references

The Nucleus of the Free Alternative Algebra

0 references

Nuclear Elements of Degree 6 in the Free Alternative Algebra

0 references

Special identities for Bol algebras

0 references

Q3972228

0 references

Genetic Algebras Satisfying Bernstein's Stationarity Principle

0 references

Derivations of the Lie algebra of infinite strictly upper triangular matrices over a commutative ring

0 references

Q3215099

0 references

Q4287368

0 references

Q3607795

0 references

Deformations of Jordan algebras of dimension four

0 references

The variety of three-dimensional real Jordan algebras

0 references

Geometric classification of nilpotent Jordan algebras of dimension five

0 references

On the free Jordan algebras

0 references

Representation type of Jordan algebras

0 references

Q5354664

0 references

On the Tits-Kantor-Koecher construction of unital Jordan bimodules

0 references

Q3560707

0 references

Q3655299

0 references

Free generic Poisson fields and algebras

0 references

Finite basis property of identities of associative algebras

0 references

Q3545570

0 references

The Freiheitssatz for generic Poisson algebras

0 references

On associative representations of non-associative algebras

0 references

A criterion for finitely generated Bernstein algebras to be genetic

0 references

Basic superranks for varieties of algebras

0 references

An infinite dimensional affine nil algebra with finite Gelfand-Kirillov dimension

0 references

On a construction of self-dual gauge fields in seven dimensions

0 references

ASSOCIATIVE NIL-ALGEBRAS OVER FINITE FIELDS

0 references

Representations of exceptional simple alternative superalgebras of characteristic 3

0 references

REPRESENTATIONS OF EXCEPTIONAL SIMPLE JORDAN SUPERALGEBRAS OF CHARACTERISTIC 3#

0 references

Kronecker factorization theorems for alternative superalgebras

0 references

Q4003177

0 references

Polynomial and Poisson dependence in free Poisson algebras and free Poisson fields

0 references

JORDAN SUPERALGEBRAS DEFINED BY BRACKETS

0 references

Jordan bimodules over the superalgebras 𝑃(𝑛) and 𝑄(𝑛)

0 references

PBW-Pairs of Varieties of Linear Algebras

0 references

Hopf algebras in non-associative Lie theory

0 references

Nilpotent Sabinin algebras

0 references

A non-associative Baker-Campbell-Hausdorff formula

0 references

Finite-dimensional right alternative superalgebras with semisimple strongly alternative even part

0 references

Irreducible unital right alternative bimodules

0 references

Right alternative bimodules over Cayley algebra and coordinatization theorem

0 references

Prime $(-1,1)$ and Jordan monsters and superalgebras of vector type

0 references

Constants of partial derivations and primitive operations

0 references

On baric algebras with prescribed automorphisms

0 references

A note on duplication of algebras

0 references

On derivations of baric algebras with prescribed automorphisms

0 references

Nilpotency in Bernstein algebras

0 references

Q5709311

0 references

An envelope for Malcev algebras.

0 references

Q3007341

0 references

Co-Moufang deformations of the universal enveloping algebra of the algebra of traceless octonions

0 references

Examples of self-iterating Lie algebras

0 references

Q3408254

0 references

Nil graded self-similar algebras

0 references

On Right Alternative Superalgebras

0 references

Noncommutative Jordan superalgebras of degree $n > 2$

0 references

Noncommutative Jordan superalgebras of degree $n \geq 2$

0 references

Structurable superalgebras of Cartan type

0 references

Structurable superalgebras of Cartan type

0 references

Simple finite-dimensional noncommutative Jordan superalgebras of characteristic 0

0 references

Simple finite-dimensional modular noncommutative Jordan superalgebras

0 references

Algebraic structure of genetic inheritance

0 references

Noetherianness of wreath products of Abelian Lie algebras with respect to equations of universal enveloping algebra

0 references

Q3808801

0 references

CONSTRUCTION OF NON-FINITELY BASED T-IDEALS

0 references

Superalgebras and counterexamples

0 references

Q4220222

0 references

Every Akivis algebra is linear

0 references

FREE MALCEV SUPERALGEBRA ON ONE ODD GENERATOR

0 references

Moufang loops and alternative algebras

0 references

Q3552587

0 references

Associative identities of octonions

0 references

On Commuting U-Operators in Jordan Algebras

0 references

Q3380100

0 references

On the radical of a free Malcev algebra

0 references

Q5484194

0 references

Irreducible bimodules over alternative algebras and superalgebras

0 references

Automorphic equivalence of the representations of Lie algebras

0 references

Free Akivis algebras, primitive elements, and hyperalgebras

0 references

The Nagata automorphism is wild

0 references

Poisson brackets and two-generated subalgebras of rings of polynomials

0 references

The tame and the wild automorphisms of polynomial rings in three variables

0 references

Polynomial Identities of Finite Dimensional Simple Algebras

0 references

Some examples of nil Lie algebras

0 references

A finite presentation of Jordan algebras

0 references

Speciality of Malcev superalgebras on one odd generator

0 references

The Universal Multiplicative Envelope of the Free Malcev Superalgebra on One Odd Generator

0 references

THE FREE ALTERNATIVE SUPERALGEBRA ON ONE ODD GENERATOR

0 references

Skew-symmetric identities of octonions

0 references

Irreductible representations of the simple Jordan superalgebra of Grassmann Poisson bracket

0 references

Rings of constants of linear derivations on Fermat rings

0 references

Q3869125

0 references

The coordinate ring of an $n$-dimensional sphere and some examples of differentially simple algebras

0 references

The Chevalley and Costant theorems for Mal’tsev algebras

0 references

A base of the free alternative superalgebra on one odd generator

0 references

Invariants of $\mathrm G_2$ and Spin(7) in positive characteristic

0 references

Identifiers

zbMATH Open document ID

1502.17001

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Mathematics Subject Classification ID

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10.1007/S40863-021-00248-X

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Sitelinks

Mathematics(1 entry)

mardi Publication:2082030