Specht property for the algebra of upper triangular matrices of size two with a Taft’s algebra action

DOI10.4153/S0008439522000327OpenAlexW4280618713WikidataQ114021604 ScholiaQ114021604MaRDI QIDQ5882718

Alejandro Estrada, Lucio Centrone

Publication date: 17 March 2023

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/s0008439522000327

zbMATH Keywords

Specht property\(H\)-module algebrascocharacterTaft's algebras\(H\)-identities

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Hopf algebras and their applications (16T05)

Related Items (1)

A Lie algebra over a finite field of characteristic 2: graded polynomial identities and Specht property

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Kemer's theory for \(H\)-module algebras with application to the PI exponent
• Homogeneous polynomial identities
• On codimension growth of finitely generated associative algebras
• Exponential codimension growth of PI algebras: an exact estimate
• Monomial algebras
• The graded identities of upper triangular matrices of size two
• Differential identities, \(2 \times 2\) upper triangular matrices and varieties of almost polynomial growth
• The GK dimension of relatively free algebras of PI-algebras
• Specht property for some varieties of Jordan algebras of almost polynomial growth
• Representability and Specht problem for \(G\)-graded algebras.
• A star-variety with almost polynomial growth
• Lie algebras simple with respect to a Taft algebra action
• Distinguishing simple algebras by means of polynomial identities
• On PI-algebras with additional structures: rationality of Hilbert series and Specht's problem
• Actions of Taft's algebras on finite dimensional algebras
• Algebras simple with respect to a Taft algebra action.
• Existence of identities in \(A \otimes B\)
• Hilbert series of PI relatively free G -graded algebras are rational functions
• Hopf Algebras
• Identities of PI-Algebras Graded by a Finite Abelian Group
• The graded Gelfand--Kirillov dimension of verbally prime algebras
• A NOTE ON GRADED GELFAND–KIRILLOV DIMENSION OF GRADED ALGEBRAS
• Generic verbally prime pi-algebras and their gk-dimensions
• The Gel'fand-Kirillov dimension of relatively free associative algebras
• On notation for ordinal numbers
• Ordering by Divisibility in Abstract Algebras

This page was built for publication: Specht property for the algebra of upper triangular matrices of size two with a Taft’s algebra action