w−filters of Almost Distributive Lattices

Document Type : Original Manuscript


1 Department of Mathematics Bapatla Engineering College, Andhra Pradesh, India

2 Depatment of Mathematics, Bapatla Engineering College

3 Departmentof Mathematics, Bapatla Engineering College



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.