Rings whose modules are weakly supplemented are perfect
Rings and Algebras
2010-03-18 v1
Abstract
In this note we show that a ring R is left perfect if and only if every left R-module is weakly supplemented if and only if R is semilocal and the radical of the countably infinite free left R-module has a weak supplement.
Cite
@article{arxiv.0711.0947,
title = {Rings whose modules are weakly supplemented are perfect},
author = {Engin Büyükaşik and Christian Lomp},
journal= {arXiv preprint arXiv:0711.0947},
year = {2010}
}