PI-algebras with slow codimension growth.

DOI10.1016/j.jalgebra.2004.09.003zbMath1071.16021OpenAlexW2057311619MaRDI QIDQ1764851

Antonio Giambruno, Daniela La Mattina

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.09.003

zbMATH Keywords

T-idealscharacters of symmetric groupslinear growthcocharactersmultilinear polynomial identitieslinearly bounded codimension sequences

Mathematics Subject Classification ID

(T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (21)

Growth of differential identities ⋮ Varieties of algebras with superinvolution of almost polynomial growth ⋮ Superalgebras: polynomial identities and asymptotics ⋮ Algebras with involution with linear codimension growth. ⋮ On minimal varieties of quadratic growth ⋮ On algebras of polynomial codimension growth ⋮ Varieties with at most quadratic growth ⋮ Varieties of almost polynomial growth: classifying their subvarieties. ⋮ Polynomial growth and star-varieties. ⋮ Differential identities and varieties of almost polynomial growth ⋮ Supervarieties of small graded colength. ⋮ Minimal star-varieties of polynomial growth and bounded colength ⋮ Star-fundamental algebras: polynomial identities and asymptotics ⋮ Graded cocharacters of minimal subvarieties of supervarieties of almost polynomial growth. ⋮ Superalgebras with involution or superinvolution and almost polynomial growth of the codimensions ⋮ Polynomial identities on superalgebras: classifying linear growth. ⋮ Matrix algebras of polynomial codimension growth. ⋮ Polynomial codimension growth of algebras with involutions and superinvolutions ⋮ Characterizing Varieties of Colength ≤4 ⋮ Varieties of unitary algebras with small growth of codimensions ⋮ Graded algebras with polynomial growth of their codimensions.

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