Graded group actions and generalized \(H\)-actions compatible with gradings
DOI10.1016/J.LAA.2023.11.005arXiv2309.00874MaRDI QIDQ6185979
Publication date: 9 January 2024
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2309.00874
Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Automorphisms and endomorphisms (16W20) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Derivations, actions of Lie algebras (16W25) Graded rings and modules (associative rings and algebras) (16W50) (T)-ideals, identities, varieties of associative rings and algebras (16R10) ``Super (or ``skew) structure (16W55) Hopf algebras and their applications (16T05) General theory of nonassociative rings and algebras (17A01)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Varieties of algebras with superinvolution of almost polynomial growth
- \(\ast\)-Superalgebras and exponential growth
- Finite-dimensional non-associative algebras and codimension growth
- Graded polynomial identities and codimensions: computing the exponential growth.
- Cocharacter sequences of algebras with Hopf algebra actions
- Identities of algebras with actions of Hopf algebras
- Primitive superalgebras with superinvolution
- Identities of graded algebras
- The exponent for superalgebras with superinvolution
- On PI-algebras with additional structures: rationality of Hilbert series and Specht's problem
- Superalgebras with involution or superinvolution and almost polynomial growth of the codimensions
- Semigroup graded algebras and codimension growth of graded polynomial identities.
- Amitsur's conjecture for associative algebras with a generalized Hopf action.
- Asymptotics of \(H\)-identities for associative algebras with an \(H\)-invariant radical.
- Existence of identities in \(A \otimes B\)
- Co-stability of Radicals and Its Applications to PI-Theory
- Multialternating graded polynomials and growth of polynomial identities
- Polynomial identities with involution, superinvolutions and the Grassmann envelope
- Graded polynomial identities and exponential growth
- $G$-identities on associative algebras
- Identities of lei algebras with actions of hopf algebras
- Actions of Ore extensions and growth of polynomialH-identities
- Varieties of algebras with pseudoinvolution and polynomial growth
- Integrality of exponents of codimension growth of finite-dimensional Lie algebras
- The Polynomial Identities of the Grassman Algebra
- Identities of graded algebras and codimension growth
- $ G$-identities of non-associative algebras
- Representation theory of Jordan superalgebras I
- On H-simple not necessarily associative algebras
This page was built for publication: Graded group actions and generalized \(H\)-actions compatible with gradings