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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2018
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/188374 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Quasi-valuation maps based on positive implicative ideals in BCK-algebras |
| spellingShingle |
Quasi-valuation maps based on positive implicative ideals in BCK-algebras Young Bae Jun Kyoung Ja Lee Seok Zun Song |
| 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 |
| author |
Young Bae Jun Kyoung Ja Lee Seok Zun Song |
| author_facet |
Young Bae Jun Kyoung Ja Lee Seok Zun Song |
| publishDate |
2018 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/188374 |
| 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. |
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AT youngbaejun quasivaluationmapsbasedonpositiveimplicativeidealsinbckalgebras AT kyoungjalee quasivaluationmapsbasedonpositiveimplicativeidealsinbckalgebras AT seokzunsong quasivaluationmapsbasedonpositiveimplicativeidealsinbckalgebras |
| first_indexed |
2025-12-07T13:16:38Z |
| last_indexed |
2025-12-07T13:16:38Z |
| _version_ |
1850855547309391872 |