ON THE STRUCTURE OF A k-ANNIHILATING IDEAL HYPERGRAPH OF COMMUTATIVE RINGS

被引：1
|
作者：
Essa, Shaymaa S. [1 ]
Mohammad, Husam Q. [2 ]
机构：
[1] Duhok Univ, Dept Math, Duhok 42001, Kurdistan Regio, Iraq
[2] Univ Mosul, Dept Math, Mosul 41002, Iraq
来源：
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2023年 / 38卷 / 01期
关键词：
Subject Classification; Key words and phrases; Finite reduced ring; direct product of ideals; k-annihilating ideal hypergraph; and k-zero divisor hypergraph; DOMINATION; GRAPHS;
D O I：
10.4134/CKMS.c210427
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
. In this paper we obtain a new structure of a k-annihilating ideal hypergraph of a reduced ring R, by determine the order and size of a hypergraph AGk(R). Also we describe and count the degree of every nontrivial ideal of a ring R containing in vertex set A(R, k) of a hypergraph AGk(R). Furthermore, we prove the diameter of AGk(R) must be less than or equal to 2. Finally, we determine the minimal dominating set of a k-annihilating ideal hypergraph of a ring R.
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页码：55 / 67
页数：13
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