Central polynomials in the matrix algebra of order two.

DOI10.1016/j.laa.2003.07.011zbMath1044.16016OpenAlexW2104686641MaRDI QIDQ1418967

Jones Colombo, Plamen Koshlukov

Publication date: 14 January 2004

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2003.07.011

zbMATH Keywords

bases of identitiesT-spacescentral polynomials

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Related Items (17)

Tensor product theorems in positive characteristic. ⋮ Graded central polynomials for the matrix algebra of order two. ⋮ Central polynomials for \(\mathbb{Z}_2\)-graded algebras and for algebras with involution. ⋮ The central polynomials for the Grassmann algebra. ⋮ On the polynomial identities of the algebra \(M_{11}(E)\). ⋮ Matrix identities with forms. ⋮ Images of multilinear graded polynomials on upper triangular matrix algebras ⋮ Identities and central polynomials with involution for the Grassmann algebra ⋮ Central polynomials of the second-order matrix algebra with graded involution ⋮ Matrix identities involving multiplication and transposition. ⋮ Graded identities and central polynomials for the verbally prime algebras ⋮ GRADED POLYNOMIAL IDENTITIES FOR THE LIE ALGEBRA sl₂(K) ⋮ Weak polynomial identities and their applications ⋮ Graded polynomial identities and central polynomials of matrices over an infinite integral domain ⋮ GRADED IDENTITIES AND PI EQUIVALENCE OF ALGEBRAS IN POSITIVE CHARACTERISTIC ⋮ Identities with involution for the matrix algebra of order two in characteristic \(p\). ⋮ Graded central polynomials for the algebra \(M_n(K)\).

Cites Work

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• Central polynomials of second-order matrix algebra
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• On the variety of Mal'tsev algebras
• A characteristic free approach to invariant theory
• Weak polynomial identities for the matrix algebra of order two
• On the Foundations of Combinatorial Theory: IX Combinatorial Methods in Invariant Theory
• Identities of associative algebras
• The Polynomial Identities of the Grassman Algebra
• 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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