Rings, matrices over which are representable as the sum of two potent matrices

DOI10.3103/S1066369X23120022zbMATH Open1547.16035MaRDI QIDQ6549011

D. T. Tapkin, A. N. Abyzov

Publication date: 3 June 2024

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite fieldmatrices over finite fields\(q\)-potent

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Conditions on elements (16U99)

Cites Work

• When is every matrix over a ring the sum of two tripotents?
• Rings over which matrices are sums of idempotent and \(q \)-potent matrices
• On some matrix analogs of the little Fermat theorem
• Rings in which every element is the sum of two idempotents
• Matrices over a commutative ring as sums of three idempotents or three involutions

Related Items (1)

Representability of matrices over commutative rings as sums of two potent matrices

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