ON THE ZERO-DIVISOR GRAPHS OF COMMUTATIVE SEMIGROUPS

被引：0

作者：

Maimani, Hamid Reza ^{[1
,2
]}

Yassemi, Siamak ^{[2
,3
]}

机构：

[1] Shahid Rajaee Univ, Dept Math, Tehran, Iran

[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran

[3] Univ Tehran, Dept Math, Tehran, Iran

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2011年 / 37卷 / 03期

关键词：

Commutative semigroup; zero-divisor graph; r-partite graph; RINGS; IDEAL;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a commutative semigroup S with 0, the zero-divisor graph of S denoted by Gamma(S) is the graph whose vertices are nonzero zero-divisor of S, and two vertices x, y are adjacent in case xy = 0 in S. In this paper we study the case where the graph F(S) is complete r-partite for a positive integer r. Also we study the commutative semigroups which are finitely colorable.

引用

页码：733 / 740

页数：8

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