w−filters of Almost Distributive Lattices

Document Type : Original Manuscript

Authors

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

2 Depatment of Mathematics, Bapatla Engineering College

3 Departmentof Mathematics, Bapatla Engineering College

10.22044/jas.2023.12898.1699

Abstract

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.

Keywords

Journal of Algebraic Systems

Articles in Press, Accepted Manuscript
Available Online from 09 April 2024

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