On Prime, Minimal Prime and Annihilator Ideals in an Almost Distributive Lattice

Yashshree Shivaji Pawar, Imran A. Gaffar Shaikh

Abstract

Necessary and sufficient conditions for a prime ideal to be a minimal prime ideal and prime ideal to be a principal ideal in an ADL are furnished. And some properties of the special subsets of the set of all prime ideals in an ADL are studied. 

Keywords

Almost Distributive Lattice (ADL), prime ideal, minimal prime ideal, maximal ideal, semi filter.

Full Text:

PDF