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
Keywords: von Neumann regular; $\Pi $-regular; annihilators; $p$-injective; YJ-injective; WGP-injective; semi-simple Artinian
@article{CMUC_2009__50_1_a2,
author = {Yue Chi Ming, Roger},
title = {VNR rings, $\Pi$-regular rings and annihilators},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {25--36},
publisher = {mathdoc},
volume = {50},
number = {1},
year = {2009},
mrnumber = {2562801},
zbl = {1203.16012},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2009__50_1_a2/}
}
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/