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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.

##### MSC:
 06F35 BCK-algebras, BCI-algebras 05C20 Directed graphs (digraphs), tournaments
##### Keywords:
BCK-algebra; $$d$$-algebra; edge; $$d$$-transitive; digraph
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##### References:
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