Geodesic
A Characterization of Left Perfect Rings
Canadian mathematical bulletin, Tome 38 (1995) no. 3, pp. 382-384

Voir la notice de l'article provenant de la source Cambridge

DOI

In this note, we show that a ring R is a left perfect ring if and only if every generating set of each left R-module contains a minimal generating set. This result gives a positive answer to a question on left perfect rings raised by Nashier and Nichols.
DOI : 10.4153/CMB-1995-055-6
Mots-clés : 16L30 
Zhou, Yiqiang. A Characterization of Left Perfect Rings. Canadian mathematical bulletin, Tome 38 (1995) no. 3, pp. 382-384. doi: 10.4153/CMB-1995-055-6
@article{10_4153_CMB_1995_055_6,
     author = {Zhou, Yiqiang},
     title = {A {Characterization} of {Left} {Perfect} {Rings}},
     journal = {Canadian mathematical bulletin},
     pages = {382--384},
     year = {1995},
     volume = {38},
     number = {3},
     doi = {10.4153/CMB-1995-055-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-055-6/}
}
TY  - JOUR
AU  - Zhou, Yiqiang
TI  - A Characterization of Left Perfect Rings
JO  - Canadian mathematical bulletin
PY  - 1995
SP  - 382
EP  - 384
VL  - 38
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-055-6/
DO  - 10.4153/CMB-1995-055-6
ID  - 10_4153_CMB_1995_055_6
ER  - 
%0 Journal Article
%A Zhou, Yiqiang
%T A Characterization of Left Perfect Rings
%J Canadian mathematical bulletin
%D 1995
%P 382-384
%V 38
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-055-6/
%R 10.4153/CMB-1995-055-6
%F 10_4153_CMB_1995_055_6

Cité par Sources :