\(A\)-identities for upper triangular matrices: a question of Henke and Regev.

DOI10.1007/s11856-011-0146-xzbMath1264.16023OpenAlexW2134013003MaRDI QIDQ1758965

Plamen Koshlukov, Dimas José Gonçalves

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/s11856-011-0146-x

zbMATH Keywords

alternating groupsalgebras with polynomial identitiesmultilinear polynomialscocharacterspolynomial identities of upper triangular matricesA-identities

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) (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 (2)

\(A\)-identities for the \(2\times 2\) matrix algebra. ⋮ Minimum degree of an A-identity of E ⊗ E

Cites Work

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• \(A\)-codimensions and \(A\)-cocharacters
• Existence of identities in \(A \otimes B\)
• $A$-identities for the Grassmann algebra: The conjecture of Henke and Regev
• On the consequences of the standard polynomial
• Multilinear Identities of the Matrix Ring
• The Polynomial Identities of the Grassman Algebra

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