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

• Date: 2018
• Main Authors: Jun, Young Bae, Lee, Kyoung Ja, Song, Seok Zun
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: (positive implicative) ideal; S-quasi-valuation map; I-quasi-valuation map; PI-quasi-valuation map; 06F35; 03G25; 03C05
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/299
• Journal Title: Algebra and Discrete Mathematics

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-quasi-valuation map is examined. Conditions for an I-quasi-valuation map to be a PI-quasi-valuation map are provided, and conditio...