Normal ideals in pseudo-complemented almost distributive lattices

In this paper, we introduced the concepts of normlet and normal ideal in a pseudo-complemented almost distributive lattice and studied its properties. We have characterized normal ideals and established equivalent conditions for every ideal to become a normal ideal. Also, derived equivalent conditions for the set of all prime normal ideals of a pseudo-complemented ADL to become a Hausdorff space.

کلیدواژه ها:

Almost Distributive Lattice (ADL) ، Pseudo-complemented ADL ، Normal ideal ، Hausdorff space