Beck's Conjecture For Multiplicative Lattices
Commutative Algebra
2013-10-18 v1
Abstract
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].
Cite
@article{arxiv.1310.4594,
title = {Beck's Conjecture For Multiplicative Lattices},
author = {Vinayak Joshi and Sachin Sarode},
journal= {arXiv preprint arXiv:1310.4594},
year = {2013}
}