Shahrood University of TechnologyJournal of Algebraic Systems2345-512811220240101ON THE DOMINATION NUMBER OF THE SUM ANNIHILATING IDEAL GRAPH OF A COMMUTATIVE RING AND ON THE DOMINATION NUMBER OF ITS COMPLEMENT155177273810.22044/jas.2022.12110.1630ENSubramanian VisweswaranDepartment of Mathematics, Saurashtra University, P.O. Box 360005, Rajkot,
India.Patat SarmanDepartment of Mathematics, Government Polytechnic, P.O. Box 362263,
Junagadh, India.
.Journal Article20220714The 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.https://jas.shahroodut.ac.ir/article_2738_355b94442aa9f4d4a286220dcbd7759f.pdf