Zero Divisor Graph of a Lattice and Its Unique Ideal

Rajendra Deore and Pramod Tayade

Journal of Mathematics, 2019, vol. 2019, 1-5

Abstract:

Let L be a lattice with the least element 0. Let be the finite set of atoms with and be the zero divisor graph of a lattice L . In this paper, we introduce the smallest finite, distributive, and uniquely complemented ideal B of a lattice L having the same number of atoms as that of L and study the properties of and .

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9825495

DOI: 10.1155/2019/9825495

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