ALGEBRAS WITH INVOLUTION WHOSE EXPONENT OF THE *-CODIMENSIONS IS EQUAL TO TWO

DOI10.1081/AGB-120005824zbMath1037.16019MaRDI QIDQ4781546

Manuela Pipitone

Publication date: 17 June 2003

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

zbMATH Keywords

algebras with involutionmatrix algebrasalgebras with polynomial identitiesT-idealscodimension sequences\(*\)-PI-exponentsexponents of polynomial identities

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

The exponent for superalgebras with superinvolution, Polynomial identities on superalgebras and exponential growth, Classifying \(G\)-graded algebras of exponent two, \(\ast\)-Superalgebras and exponential growth, Minimal algebras with respect to their *-exponent., \(*\)-polynomial identities of a nonsymmetric \(*\)-minimal algebra., A characterization of superalgebras with pseudoinvolution of exponent 2

Cites Work

• Unnamed Item
• Unnamed Item
• Wreath products and P.I. algebras
• On codimension growth of finitely generated associative algebras
• A star-variety with almost polynomial growth
• Involution codimensions of finite dimensional algebras and exponential growth
• Identities in rings with involutions
• A characterization of algebras with polynomial growth of the codimensions