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

dc.contributor.author	Young Bae Jun
dc.contributor.author	Kyoung Ja Lee
dc.contributor.author	Seok Zun Song
dc.date.accessioned	2023-02-26T12:22:45Z
dc.date.available	2023-02-26T12:22:45Z
dc.date.issued	2018
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2010 MSC: 06F35, 03G25, 03C05.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/188374
dc.description.abstract	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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	Quasi-valuation maps based on positive implicative ideals in BCK-algebras	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA