@article { author = {Noorbhashsa, Rafi and Bandaru, Ravikumar and Srujana, M}, title = {Normal ideals in pseudo-complemented almost distributive lattices}, journal = {Algebraic Structures and Their Applications}, volume = {7}, number = {2}, pages = {147-161}, year = {2020}, publisher = {Yazd University}, issn = {2382-9761}, eissn = {2423-3447}, doi = {10.22034/as.2020.1891}, 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),Hausdorff space,Normal ideal,Pseudo-complemented ADL}, url = {https://as.yazd.ac.ir/article_1891.html}, eprint = {https://as.yazd.ac.ir/article_1891_81a716febbf66a8a2c924ac09f40f2c2.pdf} }