Rings over which matrices are sums of idempotent and \(q \)-potent matrices

DOI10.1134/S0037446621010018zbMath1462.16040OpenAlexW3127080942MaRDI QIDQ2221956

D. T. Tapkin, A. N. Abyzov

Publication date: 3 February 2021

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446621010018

zbMATH Keywords

idempotentFrobenius normal form\(q\)-potent

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Conditions on elements (16U99) Special matrices (15B99)

Related Items (2)

Rings over which matrices are products of q-potents ⋮ Decompositions of endomorphisms into a sum of roots of the unity and nilpotent endomorphisms of fixed nilpotence

Cites Work

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• Rings in which Every Element is a Sum of Two Tripotents
• Rings in which every element is the sum of two idempotents
• Matrices over Zhou nil-clean rings
• Rings in which elements are sums of nilpotents, idempotents and tripotents
• Matrices over a commutative ring as sums of three idempotents or three involutions

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