@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} }