AU - hajabotalebi, n
TI - On Quasi-cofaithful Ideals
PT - JOURNAL ARTICLE
TA - jsci
JN - jsci
VO - 11
VI - 2
IP - 2
4099 - http://jsci.khu.ac.ir/article-1-1441-en.html
4100 - http://jsci.khu.ac.ir/article-1-1441-en.pdf
SO - jsci 2
ABĀ - 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.
CP - IRAN
IN -
LG - eng
PB - jsci
PG - 183
PT - S
YR - 2011