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http://dx.doi.org/10.5831/HMJ.2010.32.2.217

BCK/BCI-ALGEBRAS WITH PSEUDO-VALUATIONS  

Doh, Myung-Im (Department of Mathematics Gyeongsang National University)
Kang, Min-Su (Department of Mathematics, Hanyang University)
Publication Information
Honam Mathematical Journal / v.32, no.2, 2010 , pp. 217-226 More about this Journal
Abstract
Using the Bu$\c{s}$neag's model ([1, 2, 3]), the notion of pseudo-valuations (valuations) on a ${\mathbf{BCK/BCI}}$-algebra is introduced, and a pseudo-metric is induced by a pseudo-valuation on ${\mathbf{BCK/BCI}}$-algebras. Based on the notion of (pseudo) valuation, we show that the binary operation in ${\mathbf{BCK/BCI}}$-algebras is uniformly continuous.
Keywords
(Weak, Positive) pseudo-valuation (Positive) valuation Pseudo-metric induced by pseudo-valuation;
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