ON THE DOMINATION NUMBER OF THE SUM ANNIHILATING IDEAL GRAPH OF A COMMUTATIVE RING AND ON THE DOMINATION NUMBER OF ITS COMPLEMENT
Publish place: Journal of Algebraic Systems، Vol: 11، Issue: 2
Publish Year: 1403
Type: Journal paper
Language: English
View: 145
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Document National Code:
JR_JAS-11-2_012
Index date: 4 July 2023
ON THE DOMINATION NUMBER OF THE SUM ANNIHILATING IDEAL GRAPH OF A COMMUTATIVE RING AND ON THE DOMINATION NUMBER OF ITS COMPLEMENT abstract
The rings considered in this article are commutative with identity which are not integral domains. Let R be a ring. The sum annihilating ideal graph of R is an undirected graph whose vertex set is the set of all non-zero annihilating ideals of R and distinct vertices I and J are adjacent if and only if their sum is an annihilating ideal. The aim of this article is to discuss some results on the domination number of the sum annihilating ideal graph of R and on the domination number of its complement.
ON THE DOMINATION NUMBER OF THE SUM ANNIHILATING IDEAL GRAPH OF A COMMUTATIVE RING AND ON THE DOMINATION NUMBER OF ITS COMPLEMENT Keywords:
Reduced ring , minimal prime ideal , domination number of a graph , maximal N-prime of (0) , B-prime of (0)
ON THE DOMINATION NUMBER OF THE SUM ANNIHILATING IDEAL GRAPH OF A COMMUTATIVE RING AND ON THE DOMINATION NUMBER OF ITS COMPLEMENT authors
Subramanian Visweswaran
Department of Mathematics, Saurashtra University, P.O. Box ۳۶۰۰۰۵, Rajkot, India.
Patat Sarman
Department of Mathematics, Government Polytechnic, P.O. Box ۳۶۲۲۶۳, Junagadh, India. .
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