On exchange rings with primitive factor rings artinian

DOI10.1080/00927870008827136zbMath0978.16002OpenAlexW2015167102MaRDI QIDQ4515508

Yang Lee, Nam Kyun Kim, Chan Huh

Publication date: 22 January 2002

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

Full work available at URL: https://doi.org/10.1080/00927870008827136

zbMATH Keywords

unitsidempotentsArtinian ringsexchange ringsclean ringsPI-ringsright primitive factor rings

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) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Artinian rings and modules (associative rings and algebras) (16P20) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (3)

Exchange rings generated by their units. ⋮ The clean property is not a Morita invariant. ⋮ Exchange rings and their extensions

Cites Work

• On pi-regular rings whose primitive factor rings are Artinian
• Perspectivity and cancellation in regular rings
• Exchange rings and decompositions of modules
• Rings all of Whose Pierce Stalks are Local
• Exchange rings, units and idempotents
• On quasi-duo rings
• Rings with a polynomial identity

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