IDEAL STABLE MODULES

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FAZAELI MOGHIMI HOSEIN

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Seminar Paper

Paper Information

Seminar: IRANIAN ALGEBRA SEMINAR
Year:2016 | Issue:25

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Information Seminar Paper

Title

IDEAL STABLE MODULES

Author(s)

FAZAELI MOGHIMI HOSEIN

Keywords

IDEAL STABLE MODULE

PRIMEFUL MODULE

Abstract

LET R BE A COMMUTATIVE RING WITH IDENTITY. WE WILL SAY THAT AN R-MODULE M IS IDEAL STABLE, IF IM=M, WHEREI IS AN IDEAL OF R, IMPLIES THAT IX=RX FOR ALL X Î M. IN THIS PAPER, WE WILL STUDY IDEAL STABLE MODULES. AMONG OTHER RESULTS, IT IS PROVED THAT IF R IS AN ARTINIAN RING, THEN EVERY R-MODULE IS IDEAL STABLE AND THE CONVERSE IS TRUE IF R IS NOETHERIAN.

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Cite

APA: Copy

FAZAELI MOGHIMI, HOSEIN. (2016). IDEAL STABLE MODULES. IRANIAN ALGEBRA SEMINAR. SID. https://sid.ir/paper/938552/en

Vancouver: Copy

FAZAELI MOGHIMI HOSEIN. IDEAL STABLE MODULES. 2016. Available from: https://sid.ir/paper/938552/en

IEEE: Copy

HOSEIN FAZAELI MOGHIMI, “IDEAL STABLE MODULES,” presented at the IRANIAN ALGEBRA SEMINAR. 2016, [Online]. Available: https://sid.ir/paper/938552/en

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