Identities with involution for the matrix algebra of order two in characteristic \(p\).

DOI10.1007/BF02773540zbMath1076.16022OpenAlexW1971764169MaRDI QIDQ1781945

Jones Colombo, Plamen Koshlukov

Publication date: 9 June 2005

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

Full work available at URL: https://doi.org/10.1007/bf02773540

zbMATH Keywords

algebras with involutionbases of identities*-polynomial identitiesalgebras with polynomial identity

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10)

Related Items (6)

Central polynomials for \(\mathbb{Z}_2\)-graded algebras and for algebras with involution. ⋮ Involutions for upper triangular matrix algebras. ⋮ Graded polynomial identities for matrices with the transpose involution over an infinite field ⋮ Matrix identities with forms. ⋮ On the *-polynomial identities of \(M_{1,1}(E)\). ⋮ Graded identities with involution for the algebra of upper triangular matrices

Cites Work

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• *-polynomial identities of matrices with the transpose involution: The low degrees
• Cocharacters, Codimensions and Hilbert Series of the Polynomial Identities for 2 × 2 Matrices with Involution
• On the identities of the Grassmann algebras in characteristic \(p>0\)
• Basis of the identities of the matrix algebra of order two over a field of characteristic \(p\neq 2\)

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