2-products of idempotent by nilpotent matrices

DOI10.1007/S41980-024-00883-YMaRDI QIDQ6645194

Grigore Călugăreanu, Horia F. Pop

Publication date: 28 November 2024

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Prüfer domainmatrixCramer's ruleGCD domainidempotent-nilpotent productKronecker Rouché-Capelli theorem

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Divisibility, noncommutative UFDs (16U30) Integral domains (associative rings and algebras) (16U10) Idempotent elements (associative rings and algebras) (16U40)

Cites Work

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• Diagonalizability of idempotent matrices over noncommutative rings
• Nil clean rings.
• Linear equations over a commutative ring
• Fine rings: a new class of simple rings
• UN-rings
• On a property of pre-schreier domains
• Units and One-Sided Units in Regular Rings
• Lifting Idempotents and Exchange Rings
• On Zero Determinant Matrices that are Full
• A multiplicative dual of nil-clean rings
• On rings whose nonunits are a unit multiple of a nilpotent

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