w−FILTERS OF ALMOST DISTRIBUTIVE LATTICES

Document Type : Original Manuscript

Authors

Department of Mathematics, Bapatla Engineering College, Bapatla, Andhra Pradesh, India-522 101.

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

References

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Journal of Algebraic Systems
Volume 13, Issue 2
July 2025
Pages 37-52

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