K-FILTERS OF DISTRIBUTIVE LATTICES | ||
| Journal of Algebraic Systems | ||
| دوره 13، شماره 3، بهمن 2025، صفحه 1-14 اصل مقاله (140.09 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2023.13263.1734 | ||
| نویسنده | ||
| Mukkamala Sambasiva Rao* | ||
| Department of Mathematics, MVGR College of Engineering, Vizianagaram, Andhra Pradesh, India-535005. | ||
| چکیده | ||
| The concept of K-filters is introduced in distributive lattices and studied some properties of these classes of filters. Some necessary and sufficient conditions are derived for every π-filter of a distributive lattice to become a K-filter. Some equivalent conditions are derived for every D-filter of a distributive lattice to become a K-filter. Quasi-complemented lattices are characterized with the help of K-filters. | ||
| کلیدواژهها | ||
| π-filter؛ ω-filter؛ K-filter؛ quasi-complemented lattice | ||
| مراجع | ||
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