Geodesic
VNR rings, $\Pi$-regular rings and annihilators
Commentationes Mathematicae Universitatis Carolinae, Tome 50 (2009) no. 1, pp. 25-36.

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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 $\Pi$-regular rings are studied. Properties of WGP-injectivity are developed.
Classification : 16D40, 16D50, 16E50, 16P20
Keywords: von Neumann regular; $\Pi $-regular; annihilators; $p$-injective; YJ-injective; WGP-injective; semi-simple Artinian 
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Yue Chi Ming, Roger. VNR rings, $\Pi$-regular rings and annihilators. Commentationes Mathematicae Universitatis Carolinae, Tome 50 (2009) no. 1, pp. 25-36. http://geodesic.mathdoc.fr/item/CMUC_2009__50_1_a2/