INTRINSIC IDEALS OF DISTRIBUTIVE LATTICES | ||
| Journal of Algebraic Systems | ||
| دوره 11، شماره 1، آذر 2023، صفحه 45-64 اصل مقاله (142.33 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2022.11321.1565 | ||
| نویسنده | ||
| SAMBASIVA RAO MUKKAMALA* | ||
| Department of Mathematics, MVGR College of Engineering, P.O. Box 535004, Vizianagaram, Andhra Pradesh, India. | ||
| چکیده | ||
| The concepts of intrinsic ideals and inlets are introduced in a distributive lattice. Intrinsic ideals are also characterized with the help of inlets. Certain equivalent conditions are given for an ideal of a distributive lattice to become intrinsic. Some equivalent conditions are derived for the quotient lattice, with respect to a congruence, to become a Boolean algebra. Some topological properties of the prime spectrum of intrinsic ideals of distributive lattice are derived. | ||
| کلیدواژهها | ||
| Intrinsic ideal؛ inlet؛ prime ideal؛ Boolean algebra؛ Hausdorff space | ||
| مراجع | ||
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