Abstract
Let $N$ be a near-ring. In this paper, we associate a graph corresponding to the $3$-prime radical $\mathcal{I}$ of $N$, denoted by $\Gamma_\mathcal{I}(N)$. Further we obtain certain topological properties of $Spec(N)$, the spectrum of $3$-prime ideals of $N$ and graph theoretic properties of $\Gamma_\mathcal{I}(N)$. Using these properties, we discuss dominating sets and connected dominating sets of $\Gamma_\mathcal{I}(N)$.
Citation
T. Tamizh Chelvam. S. Nithya. "DOMINATION IN THE ZERO-DIVISOR GRAPH OF AN IDEAL OF A NEAR-RING." Taiwanese J. Math. 17 (5) 1613 - 1625, 2013. https://doi.org/10.11650/tjm.17.2013.2739
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