Rings with fine idempotents

DOI10.1142/S021949882250013XzbMath1495.16034MaRDI QIDQ5031452

Yiqiang Zhou, Grigore Călugăreanu

Publication date: 16 February 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

fine ringsdiagonal reduction of matricesidempotent-fine ringsidempotent-simple rings

Mathematics Subject Classification ID

Generalizations of commutativity (associative rings and algebras) (16U80) Conditions on elements (16U99) Integral domains (associative rings and algebras) (16U10)

Related Items (3)

Nilary group rings and algebras ⋮ Decompositions of endomorphisms into a sum of roots of the unity and nilpotent endomorphisms of fixed nilpotence ⋮ Decompositions of matrices into a sum of invertible matrices and matrices of fixed nilpotence

Cites Work

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• Some matrix completions over integral domains
• Diagonalizability of idempotent matrices over noncommutative rings
• Diagonability of idempotent matrices
• Fine rings: A new class of simple rings
• Rings with unipotent units
• On self-injective strongly π-regular rings
• Rings in which every unit is a sum of a nilpotent and an idempotent

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