Quasi-valuation maps based on positive implicative ideals in BCK-algebras

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dc.contributor.authorYoung Bae Jun
dc.contributor.authorKyoung Ja Lee
dc.contributor.authorSeok Zun Song
dc.date.accessioned2023-02-26T12:22:45Z
dc.date.available2023-02-26T12:22:45Z
dc.date.issued2018
dc.description.abstractThe 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.uk_UA
dc.identifier.citationQuasi-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.uk_UA
dc.identifier.issn1726-3255
dc.identifier.other2010 MSC: 06F35, 03G25, 03C05.
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/188374
dc.language.isoenuk_UA
dc.publisherІнститут прикладної математики і механіки НАН Україниuk_UA
dc.relation.ispartofAlgebra and Discrete Mathematics
dc.statuspublished earlieruk_UA
dc.titleQuasi-valuation maps based on positive implicative ideals in BCK-algebrasuk_UA
dc.typeArticleuk_UA

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Algebra and Discrete Mathematics, 2018, Vol. 26, № 1