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

• Published in: Algebra and Discrete Mathematics
• Date: 2018
• Main Authors: Young Bae Jun, Kyoung Ja Lee, Seok Zun Song
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188374
• 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.

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...