Normal ideals in pseudo-complemented almost distributive lattices

Author(s):

Rafi Noorbhashsa* , Ravikumar Bandaru , M Srujana

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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

Language:
English
Published:
Journal of Algebraic Structures and Their Applications, Volume:7 Issue: 2, winter-spring 2020
Pages:
147 to 161
https://www.magiran.com/p2197657