In this paper, using Gallai’s Theorem and the notion of strong resolving graph, we determine the strong metric dimension in annihilating-ideal graph of commutative rings. For reduced rings, an explicit formula is given and for non-reduced rings, under some conditions, strong metric dimension is computed.

中文翻译：

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交换环湮灭理想图中的强度量维数

本文利用Gallai定理和强分辨图的概念，确定了交换环湮灭理想图的强度量维数。对于约简环，给出了一个明确的公式，对于非约简环，在某些条件下，计算强度量维度。