When is every matrix over a ring the sum of two tripotents?

DOI10.1016/J.LAA.2021.09.007zbMath1481.15013OpenAlexW3199964117MaRDI QIDQ821020

A. N. Abyzov, D. T. Tapkin

Publication date: 29 September 2021

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

Full work available at URL: https://doi.org/10.1016/j.laa.2021.09.007

zbMATH Keywords

idempotentFrobenius normal formmatrix ringsum of two tripotents

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Canonical forms, reductions, classification (15A21)

Related Items (1)

Decompositions of endomorphisms into a sum of roots of the unity and nilpotent endomorphisms of fixed nilpotence

Cites Work

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• Matrices over a commutative ring as sums of three idempotents or three involutions

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