Normal Ideals in Generalized Almost Distributive Lattices

G.C. Rao, Ravi Kumar Bandaru, N. Rafi

Abstract

In this paper, we introduced the concept of an annihilator preserving homomorphism from a GADL L into a GADL L′ and studied some basic properties of these homomorphisms. We derived a sufficient condition for a homomorphism to be annihilator preserving homomorphism. We introduced the concept of a normal ideal in a GADL L and proved that the set N(L) of all normal ideals of L forms a Boolean algebra.