DOMINATION NUMBER IN THE ANNIHILATING-IDEAL GRAPHS OF COMMUTATIVE RINGS

被引：10
|
作者：
Nikandish, Reza [1 ]
Maimani, Hamid Reza [2 ,3 ]
Kiani, Sima [4 ]
机构：
[1] Jundi Shapur Univ Technol, Dept Math, Dezful, Iran
[2] Shahid Rajaee Teacher Training Univ, Dept Basic Sci, Math Sect, Tehran, Iran
[3] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran
[4] Islamic Azad Univ, Sci & Res Branch, Dept Math, Tehran, Iran
来源：
PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD | 2015年 / 97卷 / 111期
关键词：
annihilating-ideal graph; zero-divisor graph; domination number; minimal prime ideal;
D O I：
10.2298/PIM140222001N
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let R be a commutative ring with identity and A(R) be the set of ideals with nonzero annihilator. The annihilating-ideal graph of R is defined as the graph AG(R) with the vertex set A(R)* = A(R) \ {0} and two distinct vertices I and J are adjacent if and only if IJ = 0. In this paper, we study the domination number of AG(R) and some connections between the domination numbers of annihilating-ideal graphs and zero-divisor graphs are given.
引用
收藏
页码：225 / 231
页数：7
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