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مقالات فارسیISIکنفرانسهاژورنالها

HOOPS WITH QUASI-VALUATION MAPS

Publish place: Journal of Algebraic Systems، Vol: 8، Issue: 2
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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لینک ثابت به این Paper:
https://civilica.com/doc/1146287

شناسه ملی سند علمی:

JR_JAS-8-2_009

تاریخ نمایه سازی: 7 بهمن 1399

Abstract:

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.

Keywords:

Hoop , quasi-valuation map , S⊙(S→ , F)-quasi-valuation map , (pseudo) metric space

Authors

M. Aaly Kologani

Hatef Higher Education Institute, P.O. Box

G. R. Rezaei

Department of Mathematics, University of

R. A. Borzooei

Department of Mathematics, Shahid Beheshti

Y. B. Jun

Department of Mathematics, Education, Gyeongsang