Some Aspects of d-Units in dBCK-Algebras

الملخص EN

We explore properties of the set of d-units of a d-algebra.

A property of interest in the study of d-units in d-algebras is the weak associative property.

It is noted that many other d-algebras, especially BCK-algebras, are in fact weakly associative.

The existence of d/BCK-algebras which are not weakly associative is demonstrated.

Moreover, the notions of a d-integral domain and a left-injectivity are discussed.