scientific article

Publication date: 29 November 2010

Full work available at URL: http://ebooks.worldscinet.com/ISBN/9789814329729/toc.shtml

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idempotents endomorphism rings stability conditions finitely generated projective modules exchange rings \(\pi\)-regular rings clean rings von Neumann regular rings matrix factorizations cancellation conditions stable range conditions comparability of modules diagonal reductions

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Grothendieck groups, (K)-theory, etc. (16E20) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Other classes of modules and ideals in associative algebras (16D80) Canonical forms, reductions, classification (15A21) Units, groups of units (associative rings and algebras) (16U60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Stable range conditions (19B10) Research exposition (monographs, survey articles) pertaining to associative rings and algebras (16-02)

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