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BCK-algebras inherited from the posets. (English) Zbl 0864.06011

Summary: We construct the BCK-algebra \(\text{BCK}(X)\) inherited from the poset \(X\) (or BCK-algebra \(X)\) and study some properties in \(\text{BCK}(X)\).

MSC:

06F35 BCK-algebras, BCI-algebras
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