Group graded algebras and almost polynomial growth.

DOI10.1016/j.jalgebra.2011.03.004zbMath1248.16022OpenAlexW2033134612MaRDI QIDQ653385

Angela Valenti

Publication date: 19 December 2011

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.03.004

zbMATH Keywords

group graded algebrasGrassmann algebrascodimension sequencesgraded polynomial identitiesgrowth sequencesvarieties of almost polynomial growth

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Graded rings and modules (associative rings and algebras) (16W50) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Exterior algebra, Grassmann algebras (15A75)

Related Items

Trace identities on diagonal matrix algebras, Varieties of special Jordan algebras of almost polynomial growth, Differential identities and polynomial growth of the codimensions, Differential identities and varieties of almost polynomial growth, Actions of Taft's algebras on finite dimensional algebras, Trace identities and almost polynomial growth, Varieties of group graded algebras with graded involution of almost polynomial growth, Differential codimensions and exponential growth, Classifying \(G\)-graded algebras of exponent two, Characterizations of *-superalgebras of polynomial growth, Identities of *-superalgebras and almost polynomial growth, Polynomial codimension growth of algebras with involutions and superinvolutions, Graded algebras with polynomial growth of their codimensions., Almost polynomial growth: classifying varieties of graded algebras.

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