A central polynomial of low degree for \(4\times 4\) matrices

DOI10.1006/jabr.1994.1240zbMath0834.16020OpenAlexW1979209512MaRDI QIDQ1335080

Vesselin Drensky, Giulia Maria Piacentini Cattaneo

Publication date: 27 September 1994

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

Full work available at URL: https://doi.org/10.1006/jabr.1994.1240

zbMATH Keywords

central polynomials\(4\times 4\) matricesessentially weak polynomial identitiesRazmyslov transform

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (8)

Constructing the polynomial identities and central identities of degree \(<9\) of \(3\times 3\) matrices ⋮ New central polynomials for the matrix algebra ⋮ On central polynomials and codimension growth ⋮ Evaluations of noncommutative polynomials on algebras: methods and problems, and the L'vov-Kaplansky conjecture ⋮ Generic \(2\times 2\) matrices in positive characteristic ⋮ Weak polynomial identities and their applications ⋮ On Fagundes-Mello conjecture ⋮ The images of non-commutative polynomials evaluated on 2×2 matrices

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