$A$-identities for the Grassmann algebra: The conjecture of Henke and Regev

DOI10.1090/S0002-9939-08-09281-2zbMath1153.16019WikidataQ123200381 ScholiaQ123200381MaRDI QIDQ3518225

Plamen Koshlukov, Dimas José Gonçalves

Publication date: 7 August 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

identitiesfree associative algebrasPI algebrasmultilinear polynomialsinfinite dimensional Grassmann algebras

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Exterior algebra, Grassmann algebras (15A75) Identities other than those of matrices over commutative rings (16R40)

Related Items (4)

\(A\)-identities for the \(2\times 2\) matrix algebra. ⋮ \(A\)-identities for upper triangular matrices: a question of Henke and Regev. ⋮ Minimum degree of an A-identity of E ⊗ E ⋮ Graded A-identities for M_1,1 (E)

Cites Work

• Unnamed Item
• \(A\)-codimensions and \(A\)-cocharacters
• The Polynomial Identities of the Grassman Algebra

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