On *-polynomial identities for n\(\times n\) matrices

DOI10.1016/0021-8693(90)90279-WzbMath0725.16019OpenAlexW1979333853MaRDI QIDQ2277556

Antonio Giambruno

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0021-8693(90)90279-w

zbMATH Keywords

matrix algebrasstandard identitytranspose involutioninvolution identities

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Related Items (10)

*-Polynomial Identities of Matrices with the Symplectic Involution: The Low Degrees ⋮ Minimal degree of identities of matrix algebras with additional structures ⋮ *-polynomial identities of matrices with the transpose involution: The low degrees ⋮ Identities of symmetric and skew-symmetric matrices in characteristic \(p\) ⋮ Minimal degree of standard identities of matrix algebras with symplectic graded involution ⋮ On the minimal degree of the \(*\)-polynomial identities for the matrix algebra of order \(6\) with symplectic involution ⋮ Invariant theory in exterior algebras and Amitsur-Levitzki type theorems ⋮ Matrix identities involving multiplication and transposition. ⋮ On minimal ∗-identities of matrices^∗ ⋮ Standard identities for skew-symmetric matrices

Cites Work

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• On a polynomial identity for n\(\times n\) matrices
• A simple proof of Kostant’s theorem, and an analogue for the symplectic involution
• Standard Polynomials in Matrix Algebras

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