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Article

Yue Chi Ming, Roger
VNR rings, $\Pi$-regular rings and annihilators. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 50 (2009), issue 1, pp. 25-36
MSC: 16D40, 16D50, 16E50, 16P20 | MR 2562801 | Zbl 1203.16012
Keywords:
von Neumann regular; $\Pi $-regular; annihilators; $p$-injective; YJ-injective; WGP-injective; semi-simple Artinian
Summary:
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.
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