POLYNOMIAL IDENTITIES OF

DOI10.1081/AGB-120006502zbMath1001.16015MaRDI QIDQ4531156

Uzi Vishne

Publication date: 26 September 2002

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

zbMATH Keywords

algorithmsrepresentations of symmetric groupsalgebras with polynomial identitiesGrassmann algebraspolynomial identities of matricesstandard identitiescentral polynomialsmultilinear polynomial identities

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Software, source code, etc. for problems pertaining to associative rings and algebras (16-04) Exterior algebra, Grassmann algebras (15A75) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20) Identities other than those of matrices over commutative rings (16R40)

Related Items (7)

\(\ell\)-weak identities and central polynomials for matrices ⋮ A variant of Rosset's approach to the Amitsur-Levitzki theorem and some $\mathbb{Z}_{2}$-graded identities of $\mathrm{M}_{n}(E)$ ⋮ Identities of the algebra 𝕆⊗𝕆 ⋮ Standard polynomials are characterized by their degree and exponent. ⋮ On some properties and special identities in the second order matrix algebra over Grassmann algebras ⋮ Minimum degree of an A-identity of E ⊗ E ⋮ Polynomial Identities of M_2,1(G)

Cites Work

• Unnamed Item
• On codimension growth of finitely generated associative algebras
• Cayley-Hamilton theorem for \(2\times 2\) matrices over the Grassmann algebra
• On the identities of the matrices over the Grassmann algebra
• Finite basing of the identities of a matrix algebra of second order over a field of characteristic zero
• A new central polynomial for 3 × 3 matrices

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