Author/Authors :
Noorbhashsa, Rafi Department of Mathematics - Bapatla Engineering College - Bapatla, Andhra Pradesh, India , Bandaru, Ravikumar Department of Mathematics - GITAM(Deemed to be University), Hyderabad Campus, India , Srujana, M Department of Mathematics - Bapatla Engineering College - Bapatla, Andhra Pradesh, India
Abstract :
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.
Keywords :
Almost Distributive Lattice (ADL) , Pseudo-complemented ADL , Normal ideal , Hausdorff space
