Zero Divisor Graph of a Lattice and Its Unique Ideal

الملخص EN

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.