An Example of Bergman's and the Extension Problem for Clean Rings

DOI10.1080/00927870701866374zbMath1148.16030OpenAlexW2060084420WikidataQ57788050 ScholiaQ57788050MaRDI QIDQ3510095

Yiqiang Zhou, Tsiu-Kwen Lee, Zhong Yi

Publication date: 26 June 2008

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

Full work available at URL: http://ntur.lib.ntu.edu.tw/bitstream/246246/183189/1/11.pdf

zbMATH Keywords

idempotentsclean ringsvon Neumann regular ringsextensions of rings by ideals

Mathematics Subject Classification ID

Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Units, groups of units (associative rings and algebras) (16U60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Extensions of associative rings by ideals (16S70)

Related Items (6)

Corner Rings of a Clean Ring Need Not be Clean ⋮ Classes of almost clean rings. ⋮ Weakly perspective rings and modules ⋮ π-Rickart rings ⋮ On weakly clean rings ⋮ Generalized extending modules via exchange and clean properties

Cites Work

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• Perspectivity and cancellation in regular rings
• Exchange rings with Artinian primitive factors
• Extensions of exchange rings
• Strong lifting.
• Exchange property and the natural preorder between simple modules over semi-Artinian rings
• Clean general rings.
• EXTENSIONS OF CLEAN RINGS
• A CHARACTERIZATION OF UNIT REGULAR RINGS
• Exchange rings, units and idempotents
• On a new proof of Litoff's theorem

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