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.
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页码：1409 / 1418
页数：10
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