REGULAR FILTERS OF DISTRIBUTIVE LATTICES | ||
| Journal of Algebraic Systems | ||
| دوره 12، شماره 2، فروردین 2025، صفحه 283-299 اصل مقاله (164.67 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2023.12585.1674 | ||
| نویسندگان | ||
| Sambasiva Rao Mukkamala* ؛ Phaneendra Kumar Ananthapatnayakuni | ||
| Department of Mathematics, MVGR College of Engineering, Vizianagaram, P.O. Box 535005, Andhra Pradesh, India. | ||
| چکیده | ||
| The concepts of regular filters and π--filters are introduced in distributive lattices. A set of equivalent conditions is given for a D-filter to become a regular filter. For every D-filter, it is proved that there exists a homomorphism whose dense kernel is a regular filter. π--filters are characterized in terms of regular filters and congruences. Some equivalent conditions are given for the space of all prime π-filters to become a Hausdorff space. | ||
| کلیدواژهها | ||
| Minimal prime D-filter؛ π-filter؛ dense element؛ relatively complemented lattice؛ Hausdorff space | ||
| مراجع | ||
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