标题： 交换环的素理想和图的强度量维数 显示英文标题

标题： Strong metric dimension of the prime ideal sum graph of a commutative ring

摘要： 设$R$是一个有单位元的交换环。环$R$的素理想和图是这样一个简单无向图，其顶点集是$R$的所有非零真理想的集合，两个不同的顶点$I$和$J$相邻当且仅当$I + J$是$R$的素理想。在本文中，我们获得了各种阿廷非局部交换环的素理想和图的强度量维数。 显示英文摘要

摘要： 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 distinct 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 non-local commutative rings.