Zero Divisor Graph of a Lattice and Its Unique Ideal. (1st December 2019)

• Record Type: Journal Article
• Authors: Deore, Rajendra; Tayade, Pramod
• Other Names: Feng Feng Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2019(2019)
• Publication Date: 2019-12-01
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2019/9825495
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : Let L be a lattice with the least element 0. Let A L be the finite set of atoms with A L > 1 and Γ L 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 Γ L and Γ B .