Characterizing Varieties of Colength ≤4

DOI10.1080/00927870802216420zbMath1179.16009OpenAlexW2037032173MaRDI QIDQ3638433

Daniela La Mattina

Publication date: 2 July 2009

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

Full work available at URL: https://doi.org/10.1080/00927870802216420

zbMATH Keywords

characters of symmetric groupspolynomial identitiescocharacter sequencescodimension sequenceslinear growthcodimensionsvarieties of algebrasPI-algebrascolengthsforbidden subalgebras

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Growth rate, Gelfand-Kirillov dimension (16P90) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (10)

Varieties of algebras with superinvolution of almost polynomial growth ⋮ On algebras of polynomial codimension growth ⋮ Supervarieties of small graded colength. ⋮ Minimal star-varieties of polynomial growth and bounded colength ⋮ Graded cocharacters of minimal subvarieties of supervarieties of almost polynomial growth. ⋮ Superalgebras with superinvolution or graded involution with colengths sequence bounded by 3 ⋮ Superalgebras with involution or superinvolution and almost polynomial growth of the codimensions ⋮ Polynomial codimension growth of algebras with involutions and superinvolutions ⋮ Varieties of algebras with pseudoinvolution: codimensions, cocharacters and colengths ⋮ Superalgebras with graded involution and star-graded colength bounded by 3

Cites Work

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• A characterization of algebras with polynomial growth of the codimensions

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