Normal Ideals in Generalized Almost Distributive Lattices
G. C. Rao, Ravikumar Bandaru, Noorbhasha Rafi · Thai Journal of Mathematics · 2012
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.