On H-simple not necessarily associative algebras
DOI10.1142/S0219498819501627zbMath1435.17001arXiv1508.03764OpenAlexW2963879331MaRDI QIDQ5231707
Publication date: 27 August 2019
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.03764
semigroupcodimensionnon-associative algebrapolynomial identitygradingPI-exponent\(H\)-module algebrafree-forgetful adjunctiongeneralized \(H\)-action
Representations of finite symmetric groups (20C30) Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Other kinds of identities (generalized polynomial, rational, involution) (16R50) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Nonassociative algebras satisfying other identities (17A30) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Free nonassociative algebras (17A50) Hopf algebras and their applications (16T05)
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Cites Work
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- On existence of PI-exponents of codimension growth
- Finite-dimensional non-associative algebras and codimension growth
- Algebras with intermediate growth of the codimensions.
- Graded polynomial identities and codimensions: computing the exponential growth.
- Varieties of Lie algebras with the identity \([[x_ 1,x_ 2,x_ 3,[x_ 4,x_ 5,x_ 6]]=0\) over a field of characteristic zero]
- On Lie gradings. I
- Cocharacter sequences of algebras with Hopf algebra actions
- Identities of algebras with actions of Hopf algebras
- Exponential codimension growth of PI algebras: an exact estimate
- An example of a variety of Lie algebras with a fractional exponent
- On Lie gradings. II
- On Lie gradings. III: Gradings of the real forms of classical Lie algebras
- Semigroup graded algebras and graded PI-exponent
- Semigroup graded algebras and codimension growth of graded polynomial identities.
- Amitsur's conjecture for associative algebras with a generalized Hopf action.
- Codimensions of algebras and growth functions
- A sufficient condition for coincidence of lower and upper exponents of the variety of linear algebras
- Co-stability of Radicals and Its Applications to PI-Theory
- Multialternating graded polynomials and growth of polynomial identities
- On codimension growth of finite-dimensional Lie superalgebras
- Identities of graded simple algebras
- Graded polynomial identities and exponential growth
- Integrality of exponents of codimension growth of finite-dimensional Lie algebras
- Group Gradings on Matrix Algebras
- Finite-dimensional simple graded algebras
- Amitsur’s conjecture for polynomial 𝐻-identities of 𝐻-module Lie algebras
- Group gradings on associative algebras
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