Varieties of superalgebras of almost polynomial growth.

DOI10.1016/j.jalgebra.2011.03.025zbMath1236.16020OpenAlexW2039645275MaRDI QIDQ657951

Daniela La Mattina

Publication date: 11 January 2012

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.03.025

zbMATH Keywords

Grassmann algebrasupper triangular matricescodimension growthvarieties of superalgebrasalgebras with polynomial identitygraded codimension sequencessuperalgebras with almost polynomial growth

Mathematics Subject Classification ID

Lattices of varieties (08B15) Growth rate, Gelfand-Kirillov dimension (16P90) Graded rings and modules (associative rings and algebras) (16W50) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Exterior algebra, Grassmann algebras (15A75) ``Super (or ``skew) structure (16W55)

Related Items (18)

Superalgebras: polynomial identities and asymptotics ⋮ On algebras of polynomial codimension growth ⋮ Polynomial growth and star-varieties. ⋮ Codimensions of algebras with additional structures ⋮ Differential identities and varieties of almost polynomial growth ⋮ On unitary algebras with graded involution of quadratic growth ⋮ On some minimal supervarieties of exponential growth. ⋮ Minimal star-varieties of polynomial growth and bounded colength ⋮ Graded cocharacters of minimal subvarieties of supervarieties of almost polynomial growth. ⋮ Superalgebras with involution or superinvolution and almost polynomial growth of the codimensions ⋮ Superalgebras with graded involution: classifying minimal varieties of quadratic growth ⋮ Varieties of algebras with pseudoinvolution and polynomial growth ⋮ Polynomial codimension growth of algebras with involutions and superinvolutions ⋮ Minimal \(\ast\)-varieties and minimal supervarieties of polynomial growth ⋮ Superalgebras with graded involution and star-graded colength bounded by 3 ⋮ 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.

Cites Work

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• Existence of identities in \(A \otimes B\)
• POLYNOMIAL IDENTITIES ON SUPERALGEBRAS AND ALMOST POLYNOMIAL GROWTH
• Cocharacters, Codimensions and Hilbert Series of the Polynomial Identities for 2 × 2 Matrices with Involution
• The Polynomial Identities of the Grassman Algebra
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