MODULES WHOSE INTERSECTION GRAPH OF SUB MODULES IS COMPLETE

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Khalashi Ghezelahmad Somayeh

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Seminar Paper

Paper Information

Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2012 | Issue:43

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Title

MODULES WHOSE INTERSECTION GRAPH OF SUB MODULES IS COMPLETE

Author(s)

Khalashi Ghezelahmad Somayeh | Issue Writer Certificate

Keywords

INTERSECTION GRAPH

MODULE

Abstract

LET R BE A RING WITH UNITY AND M BE A UNITARY LEFT R-MODULE. THE INTERSECTION GRAPH OF AN R-MODULEM, DENOTED BY G(M), IS DEFINED TO BE A GRAPH WHOSE VERTICES ARE IN ONE TO ONE CORRESPONDENCE WITH ALL NON-TRIVIAL SUB MODULES OF M AND TWO DISTINCT VERTICES ARE ADJACENT IF AND ONLY IF THE CORRESPONDING SUB MODULES OFM HAVE NON-ZERO INTERSECTION. IN THIS TALK, WE STUDY ARTINAN MODULES, NOETHERIAN MODULES AND INJECTIVE MODULES, WHOSE INTERSECTION GRAPHS ARE COMPLETE. IN ADDITION, FOR A NOETHERIAN R-MODULE M, WITH COMPLETE INTERSECTION GRAPH, WE GIVE A CONDITION UNDER WHICH M IS ARTINIAN.

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APA: Copy

Khalashi Ghezelahmad, Somayeh. (2012). MODULES WHOSE INTERSECTION GRAPH OF SUB MODULES IS COMPLETE. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/925273/en

Vancouver: Copy

Khalashi Ghezelahmad Somayeh. MODULES WHOSE INTERSECTION GRAPH OF SUB MODULES IS COMPLETE. 2012. Available from: https://sid.ir/paper/925273/en

IEEE: Copy

Somayeh Khalashi Ghezelahmad, “MODULES WHOSE INTERSECTION GRAPH OF SUB MODULES IS COMPLETE,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2012, [Online]. Available: https://sid.ir/paper/925273/en

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