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Rafi, Noorbasha, Pavuluri, Vijay, Mothukuri, Balaiah. (1404). w−FILTERS OF ALMOST DISTRIBUTIVE LATTICES. , 13(2), 37-52. doi: 10.22044/jas.2023.12898.1699
Noorbasha Rafi; Vijay Saradhi Pavuluri; Balaiah Mothukuri. "w−FILTERS OF ALMOST DISTRIBUTIVE LATTICES". , 13, 2, 1404, 37-52. doi: 10.22044/jas.2023.12898.1699
Rafi, Noorbasha, Pavuluri, Vijay, Mothukuri, Balaiah. (1404). 'w−FILTERS OF ALMOST DISTRIBUTIVE LATTICES', , 13(2), pp. 37-52. doi: 10.22044/jas.2023.12898.1699
Rafi, Noorbasha, Pavuluri, Vijay, Mothukuri, Balaiah. w−FILTERS OF ALMOST DISTRIBUTIVE LATTICES. , 1404; 13(2): 37-52. doi: 10.22044/jas.2023.12898.1699

w−FILTERS OF ALMOST DISTRIBUTIVE LATTICES

Journal of Algebraic Systems
مقاله 3، دوره 13، شماره 2، مهر 2025، صفحه 37-52    اصل مقاله (156.99 K)
نوع مقاله: Original Manuscript
شناسه دیجیتال (DOI): 10.22044/jas.2023.12898.1699
نویسندگان
Noorbasha Rafi* ؛ Vijay Saradhi Pavuluri؛ Balaiah Mothukuri
Department of Mathematics, Bapatla Engineering College, Bapatla, Andhra Pradesh, India-522 101.
چکیده
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.
کلیدواژه‌ها
Almost Distributive Lattice(ADL)؛ Quasi-complemented ADL؛ prime ideal؛ D−filter؛ w−filter
مراجع
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  3. N. Rafi, P. Vijaya Saradhi and M. Balaiah, The Space of Minimal Prime D−filters of Almost Distributive Lattices, Accepted for publication in Discussiones Mathematicae-General Algebra and Applications.
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