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.
Description:
Jun Y. B. Quasi-valuation maps based on positive implicative ideals in BCK-algebras / Y.B.Jun , K. J.Lee , S. Z.Song // Algebra and Discrete Mathematics. - 2018. - Vol. 26. - Number 1. - Рp. 65-75
