RADICAL OF FILTERS IN RESIDUATED LATTICES | ||
| Journal of Algebraic Systems | ||
| مقاله 3، دوره 4، شماره 2، فروردین 2017، صفحه 111-121 اصل مقاله (126.98 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2017.852 | ||
| نویسنده | ||
| S. Motamed* | ||
| Department of Mathematics, Bandar Abbas Branch, Islamic Azad University, Bandar Abbas, Iran. | ||
| چکیده | ||
| In this paper, the notion of the radical of a filter in residuated lattices is defined and several characterizations of the radical of a filter are given. We show that if F is a positive implicative filter (or obstinate filter), then Rad(F)=F. We proved the extension theorem for radical of filters in residuated lattices. Also, we study the radical of filters in linearly ordered residuated lattices. | ||
| کلیدواژهها | ||
| (Maximal) Prime filter؛ Radical؛ Residuated lattice | ||
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آمار تعداد مشاهده مقاله: 1,185 تعداد دریافت فایل اصل مقاله: 1,008 |
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