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On \(d\)-algebras. (English) Zbl 0943.06012
There exist various generalizations of BCK-algebras. \(d\)-algebras are one of them. In this paper, the notion of a \(d\)-algebra is introduced and several relations between \(d\)-algebras and BCK-algebras are investigated. It is shown that the class of oriented digraphs corresponds in a simple way to the class of edge \(d\)-algebras and that arbitrary \(d\)-algebras also determine unique edge \(d\)-algebras in a natural manner.

06F35 BCK-algebras, BCI-algebras
05C20 Directed graphs (digraphs), tournaments
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