TY - JOUR ID - 2738 TI - ON THE DOMINATION NUMBER OF THE SUM ANNIHILATING IDEAL GRAPH OF A COMMUTATIVE RING AND ON THE DOMINATION NUMBER OF ITS COMPLEMENT JO - Journal of Algebraic Systems JA - JAS LA - en SN - 2345-5128 AU - Visweswaran, Subramanian AU - Sarman, Patat AD - Department of Mathematics, Saurashtra University, P.O. Box 360005, Rajkot, India. AD - Department of Mathematics, Government Polytechnic, P.O. Box 362263, Junagadh, India. . Y1 - 2024 PY - 2024 VL - 11 IS - 2 SP - 155 EP - 177 KW - Reduced ring KW - minimal prime ideal KW - domination number of a graph KW - maximal N-prime of (0) KW - B-prime of (0) DO - 10.22044/jas.2022.12110.1630 N2 - 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. UR - https://jas.shahroodut.ac.ir/article_2738.html L1 - https://jas.shahroodut.ac.ir/article_2738_355b94442aa9f4d4a286220dcbd7759f.pdf ER -