Minimal algebras with respect to their *-exponent.

DOI10.1016/j.jalgebra.2007.02.042zbMath1138.16008OpenAlexW2004131938MaRDI QIDQ2466939

Roberto La Scala

Publication date: 16 January 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.02.042

zbMATH Keywords

algebras with involutionexponentsideals of identitiespolynomial identitiescodimensionsfinite-dimensional simple algebrasblock-triangular algebrasminimal varieties of algebras

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) Identities other than those of matrices over commutative rings (16R40)

Related Items (16)

On the asymptotics of Capelli polynomials ⋮ On the *-Polynomial Identities of a Class of *-Minimal Algebras ⋮ On central polynomials and codimension growth ⋮ 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 ⋮ A characterization of *-minimal algebras with involution. ⋮ \(*\)-polynomial identities of a nonsymmetric \(*\)-minimal algebra. ⋮ On the *-minimality of algebras with involution. ⋮ Minimal varieties of PI-superalgebras with graded involution ⋮ The factorability of T₂-ideals of minimal supervarieties ⋮ Understanding star-fundamental algebras ⋮ Growth of central polynomials of algebras with involution ⋮ On the minimal varieties of PI-algebras graded by finite cyclic groups ⋮ Asymptotics for Capelli polynomials with involution ⋮ Central polynomials of graded algebras: capturing their exponential growth

Cites Work

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• Involutions for upper triangular matrix algebras.
• Wreath products and P.I. algebras
• A star-variety with almost polynomial growth
• Involution codimensions of finite dimensional algebras and exponential growth
• POLYNOMIAL GROWTH OF THE^*-CODIMENSIONS AND YOUNG DIAGRAMS
• A Matrix Representation for Associative Algebras. I
• Codimension growth and minimal superalgebras
• ALGEBRAS WITH INVOLUTION WHOSE EXPONENT OF THE *-CODIMENSIONS IS EQUAL TO TWO

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