O- LI- Ideals of Lattice Implication Algebras

Abstract

We familiarise the ideas of - LI- ideals and obstinate LI â ideals of lattice implication algebras. At first we define _a-LI- ideal determined by a â L and _A - LI- ideal determined by a nonempty subset A of L. We discuss the relations between _A - LI- ideal and prime LI â ideal of L and then some characterizations of - LI- ideals. After that we define a set à and prove that union of these sets formed a minimal prime LI â ideal. Finally we define obstinate LI â ideals of L and prove the some properties of obstinate LI â ideals of L.