Rings over which matrices are products of q-potents

DOI10.1080/03081087.2021.1954868OpenAlexW3185518764MaRDI QIDQ5888840

Yiqiang Zhou

Publication date: 25 April 2023

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

Full work available at URL: https://doi.org/10.1080/03081087.2021.1954868

zbMATH Keywords

idempotentfactorization of matrices\(q\)-potent(triangular) matrix ring

Mathematics Subject Classification ID

Factorization of matrices (15A23) Endomorphism rings; matrix rings (16S50) Matrices over special rings (quaternions, finite fields, etc.) (15B33)

Cites Work

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• Rings over which matrices are sums of idempotent and \(q \)-potent matrices
• An embedding theorem on triangular matrix rings
• Rings which are multiplicatively generated by idempotents
• Rings whose Elements are the Sum of a Tripotent and an Element from the Jacobson Radical
• When is a matrix a sum of involutions or tripotents?

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