@ARTICLE{,
author = {hajabotalebi, n and },
title = {On Quasi-cofaithful Ideals},
volume = {11},
number = {2},
abstract ={We introduce quasi-cofaithful ideals which is a generalization of cofaithful ideals, and investigate their properties. We say a faithful ideal $I$ is textit{quasi-cofaithful} if $I$ contains a finitely generated faithful ideal $I_1$. We show that every faithful ideal of $R$ is quasi-cofaithful if and only if every faithful ideal of $M_n(R)$ is quasi-cofaithful. We show that if $R$ has the descending chain condition on right annihilators of right ideals, then each faithful ideal of $R$ is quasi-cofaithful. For a u.p.-monoid $M$, it is shown that if $R$ is a quasi-Baer ring, then each faithful ideal of $R$ is quasi-cofaithful if and only if each faithful ideal of monoid ring $R[M]$ is quasi-cofaithful. },
URL = {http://jsci.khu.ac.ir/article-1-1441-en.html},
eprint = {http://jsci.khu.ac.ir/article-1-1441-en.pdf},
journal = {Journal title},
doi = {},
year = {2011}
}