Characterizations of semiperfect and perfect rings.

Weimin Xue

Publicacions Matemàtiques (1996)

  • Volume: 40, Issue: 1, page 115-125
  • ISSN: 0214-1493

Abstract

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We characterize semiperfect modules, semiperfect rings, and perfect rings using locally projective covers and generalized locally projective covers, where locally projective modules were introduced by Zimmermann-Huisgen and generalized locally projective covers are adapted from Azumaya’s generalized projective covers.

How to cite

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Xue, Weimin. "Characterizations of semiperfect and perfect rings.." Publicacions Matemàtiques 40.1 (1996): 115-125. <http://eudml.org/doc/41249>.

@article{Xue1996,
abstract = {We characterize semiperfect modules, semiperfect rings, and perfect rings using locally projective covers and generalized locally projective covers, where locally projective modules were introduced by Zimmermann-Huisgen and generalized locally projective covers are adapted from Azumaya’s generalized projective covers.},
author = {Xue, Weimin},
journal = {Publicacions Matemàtiques},
keywords = {Anillos regulares; Módulos algebraicos; Módulos proyectivos; generalized projective covers; module epimorphisms; finitely generated submodules; semiperfect modules; locally projective covers; left quasi-perfect rings; generalized locally projective covers},
language = {eng},
number = {1},
pages = {115-125},
title = {Characterizations of semiperfect and perfect rings.},
url = {http://eudml.org/doc/41249},
volume = {40},
year = {1996},
}

TY - JOUR
AU - Xue, Weimin
TI - Characterizations of semiperfect and perfect rings.
JO - Publicacions Matemàtiques
PY - 1996
VL - 40
IS - 1
SP - 115
EP - 125
AB - We characterize semiperfect modules, semiperfect rings, and perfect rings using locally projective covers and generalized locally projective covers, where locally projective modules were introduced by Zimmermann-Huisgen and generalized locally projective covers are adapted from Azumaya’s generalized projective covers.
LA - eng
KW - Anillos regulares; Módulos algebraicos; Módulos proyectivos; generalized projective covers; module epimorphisms; finitely generated submodules; semiperfect modules; locally projective covers; left quasi-perfect rings; generalized locally projective covers
UR - http://eudml.org/doc/41249
ER -

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