ON DOMINATION IN ZERO-DIVISOR GRAPHS OF RINGS WITH INVOLUTION

被引：1

作者：

Nazim, Mohd ^{[1
]}

Nisar, Junaid ^{[1
]}

Rehman, Nadeem Ur ^{[1
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2021年 / 58卷 / 06期

关键词：

*-ring; Rickart *-ring; domination number; dominating set; zero-divisor graph; SETS;

D O I：

10.4134/BKMS.b200968

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study domination in the zero-divisor graph of a *-ring. We first determine the domination number, the total domination number, and the connected domination number for the zero-divisor graph of the product of two *-rings with componentwise involution. Then, we study domination in the zero-divisor graph of a Rickart *-ring and relate it with the clique of the zero-divisor graph of a Rickart *-ring.

引用

页码：1409 / 1418

页数：10

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