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-quasivaluation map is examined. Conditions for an I-quasi-valuation map to be a PI-quasi-valuation map are provided, and condition...
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2018 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2018
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/188374 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Quasi-valuation maps based on positive implicative ideals in BCK-algebras/ Young Bae Jun, Kyoung Ja Lee, Seok Zun Song // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 65–75. — Бібліогр.: 11 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862619129937133568 |
|---|---|
| author | Young Bae Jun Kyoung Ja Lee Seok Zun Song |
| author_facet | Young Bae Jun Kyoung Ja Lee Seok Zun Song |
| citation_txt | Quasi-valuation maps based on positive implicative ideals in BCK-algebras/ Young Bae Jun, Kyoung Ja Lee, Seok Zun Song // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 65–75. — Бібліогр.: 11 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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-quasivaluation 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.
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| first_indexed | 2025-12-07T13:16:38Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188374 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T13:16:38Z |
| publishDate | 2018 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Young Bae Jun Kyoung Ja Lee Seok Zun Song 2023-02-26T12:22:45Z 2023-02-26T12:22:45Z 2018 Quasi-valuation maps based on positive implicative ideals in BCK-algebras/ Young Bae Jun, Kyoung Ja Lee, Seok Zun Song // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 65–75. — Бібліогр.: 11 назв. — англ. 1726-3255 2010 MSC: 06F35, 03G25, 03C05. https://nasplib.isofts.kiev.ua/handle/123456789/188374 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-quasivaluation 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Quasi-valuation maps based on positive implicative ideals in BCK-algebras Article published earlier |
| spellingShingle | Quasi-valuation maps based on positive implicative ideals in BCK-algebras Young Bae Jun Kyoung Ja Lee Seok Zun Song |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188374 |
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