On Domination in Zero-Divisor Graphs

Canadian mathematical bulletin

Doost Ali Mojdeh¹  Nader Jafari Rad²  Sayyed Heidar Jafari² 

[1] Department of Mathematics, University of Tafresh, Tafresh, Iran;Department of Mathematics, Shahrood University of Technology, Shahrood, Iran

关键词: zero-divisor graph;    domination;   

DOI  :  10.4153/CMB-2011-156-1

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

We first determine the domination number for the zero-divisorgraph of the product of two commutative rings with $1$. We thencalculate the domination number for the zero-divisor graph of anycommutative artinian ring. Finally, we extend some of the resultsto non-commutative rings in which an element is a leftzero-divisor if and only if it is a right zero-divisor.

【 授权许可】

Unknown