Reduced zero-divisor graphs of posets
This paper investigates properties of the reduced zero-divisor graph of a poset. We show that a vertex is an annihilator prime ideal if and only if it is adjacent to all other annihilator prime ideals and there are always two annihilator prime ideals which are not adjacent to a non-annihilator prime...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
University of Isfahan
2018-06-01
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Series: | Transactions on Combinatorics |
Subjects: | |
Online Access: | http://toc.ui.ac.ir/article_22311_893dce7cc938e8e23dd5defcadb2c102.pdf |