A new characterization of commutative semiregular rings

DOI10.21494/iste.op.2020.0552OpenAlexW3038664029MaRDI QIDQ6136167

Mahdi Samiei, Peter V. Danchev

Publication date: 28 August 2023

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21494/iste.op.2020.0552

zbMATH Keywords

semiregular rings\(J\)-clean rings\(J\)-rad clean rings

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Units, groups of units (associative rings and algebras) (16U60)

Cites Work

• Rings in which elements are the sum of an idempotent and a regular element.
• Some classes of strongly clean rings.
• The Jacobson radical of commutative group rings
• Group algebras over finitely generated rings
• A CHARACTERIZATION OF UNIT REGULAR RINGS
• Von Neumann Regular and Related Elements in Commutative Rings
• RINGS CLOSE TO SEMIREGULAR
• COMMUTATIVE RINGS WHOSE ELEMENTS ARE A SUM OF A UNIT AND IDEMPOTENT
• Semiregular Modules and Rings
• Lifting Idempotents and Exchange Rings
• Exchange rings, units and idempotents
• Commutative nil-clean and $\pi$-Regular Group Rings
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