This research explores w-filters in Almost Distributive Lattices, uncovering key properties and conditions.
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.
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Rafi et al. (2025) studied this question.
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