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Subjects
16-XX Associative rings and algebras
16Exx Homological methods
16E50 von Neumann regular rings and generalizations

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VNR rings, $Π$ -regular rings and annihilators

Roger Yue Chi Ming (2009)

Commentationes Mathematicae Universitatis Carolinae

Von Neumann regular rings, hereditary rings, semi-simple Artinian rings, self-injective regular rings are characterized. Rings which are either strongly regular or semi-simple Artinian are considered. Annihilator ideals and $Π$ -regular rings are studied. Properties of WGP-injectivity are developed.

Von Neumann regular rings and the Whitehead property of modules

Jan Trlifaj (1990)