ON THE DOMINATION NUMBER OF THE SUM ANNIHILATING IDEAL GRAPH OF A COMMUTATIVE RING AND ON THE DOMINATION NUMBER OF ITS COMPLEMENT | ||
| Journal of Algebraic Systems | ||
| دوره 11، شماره 2، فروردین 2024، صفحه 155-177 اصل مقاله (213.8 K) | ||
| نوع مقاله: Research Note | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2022.12110.1630 | ||
| نویسندگان | ||
| Subramanian Visweswaran* 1؛ Patat Sarman2 | ||
| 1Department of Mathematics, Saurashtra University, P.O. Box 360005, Rajkot, India. | ||
| 2Department of Mathematics, Government Polytechnic, P.O. Box 362263, Junagadh, India. . | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Reduced ring؛ minimal prime ideal؛ domination number of a graph؛ maximal N-prime of (0)؛ B-prime of (0) | ||
| مراجع | ||
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