VNR rings, Π -regular rings and annihilators

Roger Yue Chi Ming

Commentationes Mathematicae Universitatis Carolinae (2009)

  • Volume: 50, Issue: 1, page 25-36
  • ISSN: 0010-2628

Abstract

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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 Π -regular rings are studied. Properties of WGP-injectivity are developed.

How to cite

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Yue Chi Ming, Roger. "VNR rings, $\Pi $-regular rings and annihilators." Commentationes Mathematicae Universitatis Carolinae 50.1 (2009): 25-36. <http://eudml.org/doc/32478>.

@article{YueChiMing2009,
abstract = {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.},
author = {Yue Chi Ming, Roger},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {von Neumann regular; $\Pi $-regular; annihilators; $p$-injective; YJ-injective; WGP-injective; semi-simple Artinian; von Neumann regular rings; -regular rings; annihilators; p-injective rings; YJ-injective rings; WGP-injective rings; semi-simple Artinian rings},
language = {eng},
number = {1},
pages = {25-36},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {VNR rings, $\Pi $-regular rings and annihilators},
url = {http://eudml.org/doc/32478},
volume = {50},
year = {2009},
}

TY - JOUR
AU - Yue Chi Ming, Roger
TI - VNR rings, $\Pi $-regular rings and annihilators
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2009
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 50
IS - 1
SP - 25
EP - 36
AB - 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.
LA - eng
KW - von Neumann regular; $\Pi $-regular; annihilators; $p$-injective; YJ-injective; WGP-injective; semi-simple Artinian; von Neumann regular rings; -regular rings; annihilators; p-injective rings; YJ-injective rings; WGP-injective rings; semi-simple Artinian rings
UR - http://eudml.org/doc/32478
ER -

References

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