On the identical relations of associative and Lie algebras equipped with an action
DOI10.1016/j.jalgebra.2022.10.015OpenAlexW4307647266WikidataQ115350260 ScholiaQ115350260MaRDI QIDQ2099255
David M. Riley, M. Cárdenas Montoya
Publication date: 23 November 2022
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2022.10.015
involutionsderivationsautomorphismspolynomial identitiesHopf algebra actionsPI-algebrasgeneralized polynomial identitiesanti-automorphismsgroup-graded algebrasgeneralized Hopf algebra actionsidentical relations with actions
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) Identities, free Lie (super)algebras (17B01) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Graded Lie (super)algebras (17B70) 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) Hopf algebras and their applications (16T05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Cocharacter sequences of algebras with Hopf algebra actions
- General polynomial identities. II
- The representations of \(S_n\) and explicit identities for P. I. algebras
- Identities of algebras with actions of Hopf algebras
- Identities of graded algebras
- Group-graded algebras with polynomial identity
- Amitsur's conjecture for associative algebras with a generalized Hopf action.
- Identities in rings with involutions
- Group-Graded Rings, Smash Products, and Group Actions
- Actions of Commutative Hopf Algebras
- $G$-identities on associative algebras
- $ G$-identities of non-associative algebras
- Minimal Identities for Algebras
This page was built for publication: On the identical relations of associative and Lie algebras equipped with an action
