scientific article; zbMATH DE number 7797064

DOI10.22124/JART.2023.24516.1525MaRDI QIDQ6145012

Indah Emilia Wijayanti, Dian Ariesta Yuwaningsih, Budi Surodjo

Publication date: 30 January 2024

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

left regular element\(R\)-bimoduleleft idempotentleft \(r\)-clean

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Bimodules in associative algebras (16D20) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Idempotents, Peirce decompositions (17C27)

Cites Work

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• Rings in which elements are the sum of an idempotent and a regular element.
• Clean endomorphism rings.
• Continuous modules are clean.
• On clean ideals.
• Classes of almost clean rings.
• Clean general rings.
• EXTENSIONS OF CLEAN RINGS
• COMMUTATIVE RINGS WHOSE ELEMENTS ARE A SUM OF A UNIT AND IDEMPOTENT
• On Strongly Clean Modules
• A Generalization of hilber's basis theorem
• Lifting Idempotents and Exchange Rings
• Exchange rings, units and idempotents
• P-Regular and P-Local Rings
• Almost quasi clean rings
• Idempotent and Nilpotent Submodules of Multiplication Modules
• r-clean rings

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