Zero Divisor Graph of a Lattice and Its Unique Ideal-Reference-Cited by-同舟云学术

Zero Divisor Graph of a Lattice and Its Unique Ideal

Published:2019-12-01 Issue: Volume:2019 Page:1-5
ISSN:2314-4629
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Deore Rajendra¹^ORCID,Tayade Pramod²^ORCID

Affiliation:

1. Department of Mathematics, Kavayitri Bahinabai Chaudhary North Maharashtra University, Jalgaon, Jalgaon-425001, India

2. Department of Mathematics, University of Mumbai, Mumbai-400098, India

Abstract

Let L be a lattice with the least element 0. Let AL be the finite set of atoms with AL>1 and ΓL 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 ΓL and ΓB.

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2019/9825495.pdf

Reference6 articles.

1. Coloring of lattices

2. The Zero-Divisor Graph of a Lattice

3. The Zero-Divisor Graph of a Commutative Ring

4. Beck′s Coloring of a Commutative Ring

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