Central and weak identities for matrices

DOI10.1080/00927878308822961zbMath0522.16016OpenAlexW2014828014MaRDI QIDQ3672135

Patrick Halpin

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1080/00927878308822961

zbMATH Keywords

rings with polynomial identitiesweak polynomial identitiescentral polynomials for matrices

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Rings with polynomial identity (16Rxx)

Related Items (8)

New central polynomials for the matrix algebra ⋮ Evaluations of noncommutative polynomials on algebras: methods and problems, and the L'vov-Kaplansky conjecture ⋮ Central polynomials and matrix invariants ⋮ Weak polynomial identities and their applications ⋮ Graded central polynomials for the algebra \(M_n(K)\). ⋮ Identities of representations of Lie algebras and *-polynomial identities ⋮ The images of non-commutative polynomials evaluated on 2×2 matrices ⋮ Weak polynomial identities for the matrix algebras

Cites Work

• Finite basing of the identities of a matrix algebra of second order over a field of characteristic zero
• Central polynomials for matrix rings
• ON A PROBLEM OF KAPLANSKY

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