Yayınlanmış 1 Ocak 2024 | Sürüm v1
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On the unit-Jacobson graph

  • 1. Gebze Tech Univ, Fac Sci, Dept Math, Kocaeli, Turkiye
  • 2. Gebze Tech Univ, Technol Transfer Off, Kocaeli, Turkiye

Açıklama

In this paper, we introduce the unit-Jacobson graph, which is defined by the unit elements and the elements of the Jacobson radical of a commutative ring R with nonzero identity. We give relationships between this new graph concept and some special rings such as j-clean rings, UJ-rings, local rings, and cartesian rings. Moreover, we investigate the concepts of the dominating set, diameter, and girth on the unit-Jacobson graph.

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bib-7e926b1e-a36b-43ce-850a-917e269523b8.txt

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