ON QUASI-COFAITHFUL IDEALS

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HAJ ABOTALEBI N.; HASHEMI E.

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Journal: JOURNAL OF SCIENCE (KHARAZMI UNIVERSITY) Year:2011 | Volume:11 | Issue:2 Page(s): 183-194

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Information Journal Paper

Title

ON QUASI-COFAITHFUL IDEALS

Author(s)

HAJ ABOTALEBI N. | HASHEMI E. | Issue Writer Certificate

Keywords

ZIP RINGSQ2

QUASI-ARMENDARIZ RINGSQ2

U.P.-MONOIDSQ2

QUASI-BAER RINGSQ2

COFAITHFUL IDEALSQ2

Abstract

We introduce quasi-cofaithful ideals which are a generalization of COFAITHFUL IDEALS, and investigate their properties. We hold that a faithful ideal I is quasi-cofaithful if I contains a finitely generated faithful ideal I1. We show that every faithful ideal of R is quasicofaithful if and only if every faithful ideal of Mn (R) is quasi-cofaithful. Also 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 the monoid ring R[M] is quasi-cofaithful.

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APA: Copy

HAJ ABOTALEBI, N., & HASHEMI, E.. (2011). ON QUASI-COFAITHFUL IDEALS. JOURNAL OF SCIENCE (KHARAZMI UNIVERSITY), 11(2), 183-194. SID. https://sid.ir/paper/43986/en

Vancouver: Copy

HAJ ABOTALEBI N., HASHEMI E.. ON QUASI-COFAITHFUL IDEALS. JOURNAL OF SCIENCE (KHARAZMI UNIVERSITY)[Internet]. 2011;11(2):183-194. Available from: https://sid.ir/paper/43986/en

IEEE: Copy

N. HAJ ABOTALEBI, and E. HASHEMI, “ON QUASI-COFAITHFUL IDEALS,” JOURNAL OF SCIENCE (KHARAZMI UNIVERSITY), vol. 11, no. 2, pp. 183–194, 2011, [Online]. Available: https://sid.ir/paper/43986/en

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