Polynomial identities on superalgebras: classifying linear growth.

DOI10.1016/j.jpaa.2005.09.006zbMath1116.16028OpenAlexW2036564238MaRDI QIDQ2502929

Antonio Giambruno, Daniela La Mattina, Paola Misso

Publication date: 13 September 2006

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.2005.09.006

zbMATH Keywords

graded algebrassuperalgebrasvarietiesideals of identitiespolynomial identitiesgraded identitiescodimension sequencescodimension growthmultilinear polynomials

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Other kinds of identities (generalized polynomial, rational, involution) (16R50) (T)-ideals, identities, varieties of associative rings and algebras (16R10) ``Super (or ``skew) structure (16W55)

Related Items (14)

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 ⋮ Supervarieties of small graded colength. ⋮ Varieties of superalgebras of almost polynomial growth. ⋮ Graded cocharacters of minimal subvarieties of supervarieties of almost polynomial growth. ⋮ Superalgebras with involution or superinvolution and almost polynomial growth of the codimensions ⋮ Polynomial codimension growth of algebras with involutions and superinvolutions ⋮ Polynomial growth and identities of superalgebras and star-algebras. ⋮ Superalgebras and algebras with involution: classifying varieties of quadratic growth ⋮ Graded algebras with polynomial growth of their codimensions. ⋮ Almost polynomial growth: classifying varieties of graded algebras.

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