The Co-annihilating-ideal Graphs of Commutative Rings

被引：13
|
作者：
Akbari, Saeeid [1 ]
Alilou, Abbas [2 ]
Amjadi, Jafar [2 ]
Sheikholeslami, Eyed Mahmoud [2 ]
机构：
[1] Sharif Univ Technol, Dept Math Sci, Tehran, Iran
[2] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran
来源：
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2017年 / 60卷 / 01期
关键词：
commutative ring; co-annihilating-ideal graph; ZERO-DIVISOR GRAPH; DIAMETER;
D O I：
10.4153/CMB-2016-017-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let R be a commutative ring with identity. The co-annihilating-ideal graph of R, denoted by A(R), is a graph whose vertex set is the set of all non-zero proper ideals of R and two distinct vertices I and J are adjacent whenever Ann(I) boolean AND Ann(J) = {0}. In this paper we initiate the study of the co-annihilating ideal graph of a commutative ring and we investigate its properties.
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收藏
页码：3 / 11
页数：9
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