Hilbert series of PI relatively free G -graded algebras are rational functions

DOI10.1112/BLMS/BDR116zbMath1259.16023arXiv1011.3253OpenAlexW3105536892MaRDI QIDQ2893269

Alexei Kanel-Belov, Eli Aljadeff

Publication date: 19 June 2012

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.3253

zbMATH Keywords

group graded algebrasHilbert seriesrationalityPI algebrasgraded polynomial identitiesgraded T-ideals

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Graded rings and modules (associative rings and algebras) (16W50) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (7)

Specht property for the algebra of upper triangular matrices of size two with a Taft’s algebra action ⋮ Regev's conjecture for algebras with Hopf actions ⋮ On the codimension sequence of \(G\)-simple algebras. ⋮ Amitsur's conjecture for associative algebras with a generalized Hopf action. ⋮ Hilbert series of \(T\)-spaces ⋮ Alekseĭ Yakovlevich Kanel'-Belov ⋮ On PI-algebras with additional structures: rationality of Hilbert series and Specht's problem

This page was built for publication: Hilbert series of PI relatively free G -graded algebras are rational functions