\(\ast\)-Superalgebras and exponential growth

DOI10.1016/j.jalgebra.2016.10.029zbMath1362.16030OpenAlexW2556868468WikidataQ115571739 ScholiaQ115571739MaRDI QIDQ502723

Rafael Bezerra Dos Santos

Publication date: 6 January 2017

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2016.10.029

zbMATH Keywords

exponential growthpolynomial identity\(\ast\)-graded exponentgraded involution

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (12)

Trace identities on diagonal matrix algebras ⋮ Graded linear maps on superalgebras ⋮ The exponent for superalgebras with superinvolution ⋮ *-Graded Capelli polynomials and their asymptotics ⋮ Trace identities and almost polynomial growth ⋮ Graded group actions and generalized \(H\)-actions compatible with gradings ⋮ Codimensions of star-algebras and low exponential growth ⋮ Classifying \(G\)-graded algebras of exponent two ⋮ Superalgebras with superinvolution or graded involution with colengths sequence bounded by 3 ⋮ Superalgebras with involution or superinvolution and almost polynomial growth of the codimensions ⋮ Minimal varieties of PI-superalgebras with graded involution ⋮ A characterization of superalgebras with pseudoinvolution of exponent 2

Cites Work

• Unnamed Item
• On codimension growth of finitely generated associative algebras
• Exponential codimension growth of PI algebras: an exact estimate
• Polynomial identities on superalgebras and exponential growth
• Involution codimensions of finite dimensional algebras and exponential growth
• Amitsur's conjecture for associative algebras with a generalized Hopf action.
• Existence of identities in \(A \otimes B\)
• Identities of *-superalgebras and almost polynomial growth
• Multialternating graded polynomials and growth of polynomial identities
• ALGEBRAS WITH INVOLUTION WHOSE EXPONENT OF THE *-CODIMENSIONS IS EQUAL TO TWO

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