The zero-divisor graph of a commutative semigroup

被引：0

作者：

F. R. DeMeyer

T. McKenzie

K. Schneider

机构：

[1] Colorado State University,Department of Mathematics

[2] Bradley University,Department of Mathematics

[3] Mesa State University,Department of Mathematics

来源：

Semigroup Forum | 2002年 / 65卷

关键词：

Automorphism Group; Undirected Graph; Commutative Ring; Single Edge; Commutative Semigroup;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

An undirected graph Γ(S) is associated to each commutative multiplicative semigroup S with 0. The vertices of the graph are labeled by the nonzero zero-divisors of S , and two vertices x,y are connected by an edge in case xy = 0 in S . The properties and possible structures of the graph Γ (S) are studied.

引用

页码：206 / 214

页数：8