Yazd University Algebraic Structures and Their Applications 2382-9761 7 2 2020 11 01 Normal ideals in pseudo-complemented almost distributive lattices 147 161 1891 10.22034/as.2020.1891 EN Rafi Noorbhashsa Department of Mathematics, Bapatla Engineering College, Bapatla, Andhra Pradesh - 522 101, India. 0000-0003-2070-0533 Ravikumar Bandaru Department of Mathematics, GITAM(Deemed to be University), Hyderabad Campus, Telangana - 502 329, India 0000-0001-8661-7914 M Srujana Department of Mathematics, Bapatla Engineering College, Bapatla, Andhra Pradesh - 522 101, India. Journal Article 2020 04 27 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. https://as.yazd.ac.ir/article_1891_81a716febbf66a8a2c924ac09f40f2c2.pdf