Algebras simple with respect to a Sweedler's algebra action

DOI10.1142/S0219498814500777zbMath1322.16015arXiv1309.3664OpenAlexW3102175966MaRDI QIDQ5498552

Alexei S. Gordienko

Publication date: 9 February 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.3664

zbMATH Keywords

polynomial identitiescodimension sequencesmodule algebrasassociative algebrasSweedler Hopf algebrasskew-derivations

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Derivations, actions of Lie algebras (16W25) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Hopf algebras and their applications (16T05)

Related Items (5)

Actions of Taft's algebras on finite dimensional algebras ⋮ Lie algebras simple with respect to a Taft algebra action ⋮ H-Simple module algebras for eight-dimensional non-semisimple Hopf algebras ⋮ Equivalences of (co)module algebra structures over Hopf algebras ⋮ Algebras simple with respect to a Taft algebra action.

Cites Work

• Cocharacter sequences of algebras with Hopf algebra actions
• Differential identities of semiprime rings
• Identities of algebras with actions of Hopf algebras
• Amitsur's conjecture for associative algebras with a generalized Hopf action.
• Asymptotics of \(H\)-identities for associative algebras with an \(H\)-invariant radical.
• Group gradings on simple Lie algebras in positive characteristic
• $G$-identities on associative algebras
• Identities of graded algebras and codimension growth
• Quaternion algebras and hopf crossed products
• Finite-dimensional simple graded algebras

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