3-Zero-Divisor Hypergraph with Respect to an Element in Multiplicative Lattice
Abstract
Let be a multiplicative lattice and be a proper element of . We introduce the 3-zero-divisor hypergraph of with respect to which is a hypergraph whose vertices are elements of the set where distinct vertices and are adjacent, that is, is a hyperedge if and only if . Throughout this paper, the hypergraph is denoted by We investigate many properties of the hypergraph over a multiplicative lattice. Moreover, we find a lower bound of diameter of and obtain that is connected.
Keywords
References
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