Shahrood University of Technology Journal of Algebraic Systems 2345-5128 13 2 2025 07 01 w−FILTERS OF ALMOST DISTRIBUTIVE LATTICES 37 52 3110 10.22044/jas.2023.12898.1699 EN Noorbasha Rafi Department of Mathematics, Bapatla Engineering College, Bapatla, Andhra Pradesh, India-522 101. Vijay Saradhi Pavuluri Department of Mathematics, Bapatla Engineering College, Bapatla, Andhra Pradesh, India-522 101. Balaiah Mothukuri Department of Mathematics, Bapatla Engineering College, Bapatla, Andhra Pradesh, India-522 101. Journal Article 2023 03 30 The notion of w−filters is introduced in an Almost Distributive Lattice(ADL) and properties are investigated. A necessary and sufficient condition is derived for a maximal filter of an ADL to become a w−filter which leads to a characterization of a quasi-complemented ADL. Also, w−filters of an ADL are characterized in terms of minimal prime D−filters. https://jas.shahroodut.ac.ir/article_3110_542337472e9beb1eac7cdb8f1e5539d3.pdf