On Clean Rings

DOI10.1080/00927872.2015.1053899zbMath1343.16004OpenAlexW2344830482MaRDI QIDQ2815403

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Publication date: 28 June 2016

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2015.1053899

zbMATH Keywords

endomorphism ringsclean ringsunit-regular ringsdirect sum decompositionsclean modules

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Units, groups of units (associative rings and algebras) (16U60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items

Special clean elements in rings

Cites Work

• Clean endomorphism rings.
• Classes of modules with the exchange property
• Continuous modules are clean.
• Refinements for infinite direct decompositions of algebraic systems
• Exchange rings and decompositions of modules
• A CHARACTERIZATION OF UNIT REGULAR RINGS
• On Strongly Clean Modules
• Exchange rings, units and idempotents
• On Embedding Rings in Clean Rings