Strong metric dimension of the prime ideal sum graphs of commutative rings.

Let R be a commutative ring with unity. The prime ideal sum graph of the ring R is the simple undirected graph whose vertex set is the set of all nonzero proper ideals of R and two vertices I and J are adjacent if and only if I + J is a prime ideal of R. In this paper, we obtain the strong metric dimension of the prime ideal sum graph for various classes of Artinian nonlocal commutative rings. [ABSTRACT FROM AUTHOR]