A characterization of *-minimal algebras with involution.

DOI10.1007/S11856-011-0144-ZzbMath1273.16018OpenAlexW2098366345MaRDI QIDQ1758963

Ernesto Spinelli

Publication date: 19 November 2012

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-011-0144-z

zbMATH Keywords

involutionscodimension sequencesPI-algebras*-varieties

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (9)

On the asymptotics of Capelli polynomials ⋮ Graded polynomial identities on upper block triangular matrix algebras. ⋮ Comparing the \(\mathbb{Z}_2\)-graded identities of two minimal superalgebras with the same superexponent ⋮ On some minimal supervarieties of exponential growth. ⋮ On the factorability of the ideal of \(\ast\)-graded polynomial identities of minimal varieties of PI \(\ast\)-superalgebras ⋮ \(*\)-polynomial identities of a nonsymmetric \(*\)-minimal algebra. ⋮ Minimal varieties of PI-superalgebras with graded involution ⋮ Understanding star-fundamental algebras ⋮ Asymptotics for Capelli polynomials with involution

Cites Work

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• Existence of identities in \(A \otimes B\)
• POLYNOMIAL GROWTH OF THE^*-CODIMENSIONS AND YOUNG DIAGRAMS
• Asymptotic behaviour of codimensions of p. i. algebras satisfying Capelli identities
• Codimension growth and minimal superalgebras
• A characterization of algebras with polynomial growth of the codimensions

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