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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| Sprache: | English |
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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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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 |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
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| datestamp_date |
2018-10-20T08:02:25Z |
| collection |
OJS |
| language |
English |
| topic |
(positive implicative) ideal S-quasi-valuation map I-quasi-valuation map PI-quasi-valuation map 06F35 03G25 03C05 |
| 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 |
| topic_facet |
(positive implicative) ideal S-quasi-valuation map I-quasi-valuation map PI-quasi-valuation map 06F35 03G25 03C05 |
| format |
Article |
| 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 |
| title |
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_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_sort |
quasi-valuation maps based on positive implicative ideals in bck-algebras |
| 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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/299 |
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AT junyoungbae quasivaluationmapsbasedonpositiveimplicativeidealsinbckalgebras AT leekyoungja quasivaluationmapsbasedonpositiveimplicativeidealsinbckalgebras AT songseokzun quasivaluationmapsbasedonpositiveimplicativeidealsinbckalgebras |
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2025-12-02T15:40:05Z |
| last_indexed |
2025-12-02T15:40:05Z |
| _version_ |
1850411587412688896 |