Quasi-valuation maps based on positive implicative ideals in BCK-algebras
The notion of PI-quasi-valuation maps of a BCK-algebra is introduced, and related properties are investigated. The relationship between an I-quasi-valuation map and a PI-quasi-valuation map is examined. Conditions for an I-quasi-valuation map to be a PI-quasi-valuation map are provided, and conditio...
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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/299 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543203452256256 |
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| author | Jun, Young Bae Lee, Kyoung Ja Song, Seok Zun |
| author_facet | Jun, Young Bae Lee, Kyoung Ja Song, Seok Zun |
| author_sort | Jun, Young Bae |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-10-20T08:02:25Z |
| description | The notion of PI-quasi-valuation maps of a BCK-algebra is introduced, and related properties are investigated. The relationship between an I-quasi-valuation map and a PI-quasi-valuation map is examined. Conditions for an I-quasi-valuation map to be a PI-quasi-valuation map are provided, and conditions for a real-valued function on a BCK-algebra to be a quasi-valuation map based on a positive implicative ideal are founded. The extension property for a PI-quasi-valuation map is established. |
| first_indexed | 2025-12-02T15:40:05Z |
| format | Article |
| id | admjournalluguniveduua-article-299 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:40:05Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-2992018-10-20T08:02:25Z Quasi-valuation maps based on positive implicative ideals in BCK-algebras Jun, Young Bae Lee, Kyoung Ja Song, Seok Zun (positive implicative) ideal, S-quasi-valuation map, I-quasi-valuation map, PI-quasi-valuation map 06F35, 03G25, 03C05 The notion of PI-quasi-valuation maps of a BCK-algebra is introduced, and related properties are investigated. The relationship between an I-quasi-valuation map and a PI-quasi-valuation map is examined. Conditions for an I-quasi-valuation map to be a PI-quasi-valuation map are provided, and conditions for a real-valued function on a BCK-algebra to be a quasi-valuation map based on a positive implicative ideal are founded. The extension property for a PI-quasi-valuation map is established. Lugansk National Taras Shevchenko University 2018-10-20 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/299 Algebra and Discrete Mathematics; Vol 26, No 1 (2018) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/299/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/299/441 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/299/442 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/299/443 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | (positive implicative) ideal S-quasi-valuation map I-quasi-valuation map PI-quasi-valuation map 06F35 03G25 03C05 Jun, Young Bae Lee, Kyoung Ja Song, Seok Zun Quasi-valuation maps based on positive implicative ideals in BCK-algebras |
| title | Quasi-valuation maps based on positive implicative ideals in BCK-algebras |
| title_full | Quasi-valuation maps based on positive implicative ideals in BCK-algebras |
| title_fullStr | Quasi-valuation maps based on positive implicative ideals in BCK-algebras |
| title_full_unstemmed | Quasi-valuation maps based on positive implicative ideals in BCK-algebras |
| title_short | Quasi-valuation maps based on positive implicative ideals in BCK-algebras |
| title_sort | quasi-valuation maps based on positive implicative ideals in bck-algebras |
| topic | (positive implicative) ideal S-quasi-valuation map I-quasi-valuation map PI-quasi-valuation map 06F35 03G25 03C05 |
| topic_facet | (positive implicative) ideal S-quasi-valuation map I-quasi-valuation map PI-quasi-valuation map 06F35 03G25 03C05 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/299 |
| work_keys_str_mv | AT junyoungbae quasivaluationmapsbasedonpositiveimplicativeidealsinbckalgebras AT leekyoungja quasivaluationmapsbasedonpositiveimplicativeidealsinbckalgebras AT songseokzun quasivaluationmapsbasedonpositiveimplicativeidealsinbckalgebras |