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 -