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arxiv: 1310.4594 · v1 · pith:BDXJLVSHnew · submitted 2013-10-17 · 🧮 math.AC

Beck's Conjecture For Multiplicative Lattices

classification 🧮 math.AC
keywords multiplicativebeckconjecturelatticelatticesaalipourbehboodicounter
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In this paper, we introduce the zero divisor graph of a multiplicative lattice. We provide a counter example to Beck's conjecture for multiplicative lattices. Further, we prove that Beck's conjecture is true for reduced multiplicative lattice which extends the result of Behboodi and Rakeei[7], and Aalipour et. al.[1].

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