HOOPS WITH QUASI-VALUATION MAPS
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 spac...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Shahrood University of Technology
2021-01-01
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| Series: | Journal of Algebraic Systems |
| Subjects: | |
| Online Access: | http://jas.shahroodut.ac.ir/article_1955_ce7dc383760b98c224e268740b53e849.pdf |
| _version_ | 1818677425522868224 |
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| author | M. Aaly Kologani G. R. Rezaei R. A. Borzooei Y. B. Jun |
| author_facet | M. Aaly Kologani G. R. Rezaei R. A. Borzooei Y. B. Jun |
| author_sort | M. Aaly Kologani |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-17T08:59:10Z |
| format | Article |
| id | doaj.art-b48f6fa2f36f407791c569ee2253b0df |
| institution | Directory Open Access Journal |
| issn | 2345-5128 2345-511X |
| language | English |
| last_indexed | 2024-12-17T08:59:10Z |
| publishDate | 2021-01-01 |
| publisher | Shahrood University of Technology |
| record_format | Article |
| series | Journal of Algebraic Systems |
| spelling | doaj.art-b48f6fa2f36f407791c569ee2253b0df2022-12-21T21:55:51ZengShahrood University of TechnologyJournal of Algebraic Systems2345-51282345-511X2021-01-018225126810.22044/jas.2020.8499.14131955HOOPS WITH QUASI-VALUATION MAPSM. Aaly Kologani0G. R. Rezaei1R. A. Borzooei2Y. B. Jun3Hatef Higher Education Institute, P.O. Box 9816848165, Zahedan, Iran.Department of Mathematics, University of Sistan and Baluchestan, P.O. Box 98167- 45845, Zahedan, Iran.Department of Mathematics, Shahid Beheshti University, P.O. Box 1983969411, Tehran, Iran.Department of Mathematics, Education, Gyeongsang National University, P.O. Box 52828, Jinju, Korea.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.http://jas.shahroodut.ac.ir/article_1955_ce7dc383760b98c224e268740b53e849.pdfhoopquasi-valuation maps⊙(s→f)-quasi-valuation map(pseudo) metric space |
| spellingShingle | M. Aaly Kologani G. R. Rezaei R. A. Borzooei Y. B. Jun HOOPS WITH QUASI-VALUATION MAPS Journal of Algebraic Systems hoop quasi-valuation map s⊙(s→ f)-quasi-valuation map (pseudo) metric space |
| title | HOOPS WITH QUASI-VALUATION MAPS |
| title_full | HOOPS WITH QUASI-VALUATION MAPS |
| title_fullStr | HOOPS WITH QUASI-VALUATION MAPS |
| title_full_unstemmed | HOOPS WITH QUASI-VALUATION MAPS |
| title_short | HOOPS WITH QUASI-VALUATION MAPS |
| title_sort | hoops with quasi valuation maps |
| topic | hoop quasi-valuation map s⊙(s→ f)-quasi-valuation map (pseudo) metric space |
| url | http://jas.shahroodut.ac.ir/article_1955_ce7dc383760b98c224e268740b53e849.pdf |
| work_keys_str_mv | AT maalykologani hoopswithquasivaluationmaps AT grrezaei hoopswithquasivaluationmaps AT raborzooei hoopswithquasivaluationmaps AT ybjun hoopswithquasivaluationmaps |