Polynomial growth and identities of superalgebras and star-algebras.

DOI10.1016/j.jpaa.2009.03.003zbMath1178.16019OpenAlexW1964114951MaRDI QIDQ1030701

Silvana Mauceri, Paola Misso, Daniela La Mattina

Publication date: 2 July 2009

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2009.03.003

zbMATH Keywords

algebras with involutionsuperalgebrasalgebras with polynomial identitiesT-idealsgraded identitiescodimension sequencesstar-codimensionssuper polynomial identitiessuper-codimensions

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) ``Super (or ``skew) structure (16W55)

Related Items

On codimensions of algebras with involution, Superalgebras: polynomial identities and asymptotics, On algebras of polynomial codimension growth, Polynomial growth and star-varieties., Codimensions of algebras with additional structures, On unitary algebras with graded involution of quadratic growth, Minimal star-varieties of polynomial growth and bounded colength, Codimensions of star-algebras and low exponential growth, Star-fundamental algebras: polynomial identities and asymptotics, Varieties of superalgebras of almost polynomial growth., Superalgebras with involution or superinvolution and almost polynomial growth of the codimensions, Unitary superalgebras with graded involution or superinvolution of polynomial growth, Polynomial codimension growth of algebras with involutions and superinvolutions, Minimal \(\ast\)-varieties and minimal supervarieties of polynomial growth, Understanding star-fundamental algebras, Superalgebras and algebras with involution: classifying varieties of quadratic growth, Almost polynomial growth: classifying varieties of graded algebras.

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