A note on r-precious ring

DOI10.1142/S0219498821502315zbMath1494.16010OpenAlexW3162650739MaRDI QIDQ5024535

Nitin Bisht

Publication date: 26 January 2022

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

Full work available at URL: https://doi.org/10.1142/s0219498821502315

zbMATH Keywords

clean ringvon Neumann regular ring\(r\)-clean ring\(r\)-precious ringprecious ring

Mathematics Subject Classification ID

Conditions on elements (16U99) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Cites Work

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• Rings in which elements are the sum of an idempotent and a regular element.
• Rings with internal cancellation.
• Weakly clean rings and almost clean rings
• A CHARACTERIZATION OF UNIT REGULAR RINGS
• COMMUTATIVE RINGS WHOSE ELEMENTS ARE A SUM OF A UNIT AND IDEMPOTENT
• Lifting Idempotents and Exchange Rings
• A generalization of semiclean rings
• r-clean rings
• A nil-clean 2 × 2 matrix over the integers which is not clean

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