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Uncovers properties of the complement of Jacobson graphs in finite commutative rings, indicating their structural significance.
Let R be a finite commutative ring with nonzero identity and denote its Jacobson radical by J(R). The Jacobson graph of R is the graph in which the vertex set is R(R), and two distinct vertices x and y are adjacent if and only if 1 – xy is not a unit in R. In this paper, we obtain some properties of the complement of the Jacobson graph.
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A. R. Naghipour (2026) studied this question.
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