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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| Дата: | 2018 |
|---|---|
| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2018
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/188374 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-188374 |
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dspace |
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irk-123456789-1883742023-02-27T01:27:39Z Quasi-valuation maps based on positive implicative ideals in BCK-algebras Young Bae Jun Kyoung Ja Lee Seok Zun Song 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. 2018 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/188374 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Young Bae Jun Kyoung Ja Lee Seok Zun Song |
| spellingShingle |
Young Bae Jun Kyoung Ja Lee Seok Zun Song Quasi-valuation maps based on positive implicative ideals in BCK-algebras Algebra and Discrete Mathematics |
| author_facet |
Young Bae Jun Kyoung Ja Lee Seok Zun Song |
| author_sort |
Young Bae Jun |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2018 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT youngbaejun quasivaluationmapsbasedonpositiveimplicativeidealsinbckalgebras AT kyoungjalee quasivaluationmapsbasedonpositiveimplicativeidealsinbckalgebras AT seokzunsong quasivaluationmapsbasedonpositiveimplicativeidealsinbckalgebras |
| first_indexed |
2023-10-18T23:08:13Z |
| last_indexed |
2023-10-18T23:08:13Z |
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1796157342766596096 |