%0 Journal Article
%A hajabotalebi, n
%T On Quasi-cofaithful Ideals
%J Journal title
%V 11
%N 2
%U http://jsci.khu.ac.ir/article-1-1441-en.html
%R
%D 2011
%K 1- zip rings, 2- quasi-Baer rings, 3- quasi-Armendariz rings, 4- u.p.-monoids, 5- cofaithful ideals,
%X 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.
%> http://jsci.khu.ac.ir/article-1-1441-en.pdf
%P 183-194
%& 183
%! On Quasi-cofaithful Ideals
%9 S
%L A-10-459-1
%+
%G eng
%@
%[ 2011