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, N. , Pavuluri, V. Saradhi and Mothukuri, B. (2025). w−FILTERS OF ALMOST DISTRIBUTIVE LATTICES. Journal of Algebraic Systems, 13(2), 37-52. doi: 10.22044/jas.2023.12898.1699
MLA
Rafi, N. , , Pavuluri, V. Saradhi, and Mothukuri, B. . "w−FILTERS OF ALMOST DISTRIBUTIVE LATTICES", Journal of Algebraic Systems, 13, 2, 2025, 37-52. doi: 10.22044/jas.2023.12898.1699
HARVARD
Rafi, N., Pavuluri, V. Saradhi, Mothukuri, B. (2025). 'w−FILTERS OF ALMOST DISTRIBUTIVE LATTICES', Journal of Algebraic Systems, 13(2), pp. 37-52. doi: 10.22044/jas.2023.12898.1699
CHICAGO
N. Rafi , V. Saradhi Pavuluri and B. Mothukuri, "w−FILTERS OF ALMOST DISTRIBUTIVE LATTICES," Journal of Algebraic Systems, 13 2 (2025): 37-52, doi: 10.22044/jas.2023.12898.1699
VANCOUVER
Rafi, N., Pavuluri, V. Saradhi, Mothukuri, B. w−FILTERS OF ALMOST DISTRIBUTIVE LATTICES. Journal of Algebraic Systems, 2025; 13(2): 37-52. doi: 10.22044/jas.2023.12898.1699