HOOPS WITH QUASI-VALUATION MAPS | ||
| Journal of Algebraic Systems | ||
| دوره 8، شماره 2، فروردین 2021، صفحه 251-268 اصل مقاله (182.35 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2020.8499.1413 | ||
| نویسندگان | ||
| M. Aaly Kologani1؛ G. R. Rezaei2؛ R. A. Borzooei* 3؛ Y. B. Jun4 | ||
| 1Hatef Higher Education Institute, P.O. Box 9816848165, Zahedan, Iran. | ||
| 2Department of Mathematics, University of Sistan and Baluchestan, P.O. Box 98167- 45845, Zahedan, Iran. | ||
| 3Department of Mathematics, Shahid Beheshti University, P.O. Box 1983969411, Tehran, Iran. | ||
| 4Department of Mathematics, Education, Gyeongsang National University, P.O. Box 52828, Jinju, Korea. | ||
| چکیده | ||
| Based on subalgebras and filters in hoops, the notions of S-quasi-valuation maps and F-quasi-valuation maps are introduced, and related properties are investigated. Relations between S-quasi-valuation maps and F-quasi-valuation maps are introduced. Using F-quasi-valuation map, a (pseudo) metric space is indued, and we show that the operations “⊙”, “→” and “∧” in a hoop are uniformly continuous. | ||
| کلیدواژهها | ||
| Hoop؛ quasi-valuation map؛ S⊙(S→؛ F)-quasi-valuation map؛ (pseudo) metric space | ||
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آمار تعداد مشاهده مقاله: 455 تعداد دریافت فایل اصل مقاله: 519 |
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