Bulletin of the
Korean Mathematical Society BKMS

In this paper, we give some constructions of implicative/commutative $d$-algebras which are not $BCK$-algebras. This demonstrate that the notion of implicative/commutative $d$-algebras are indeed generalizations of the same in $BCK$-algebras.

Keywords: $d/BCK$-algebra, (positive-)implicative, commutative, $\sqrt{3}$-exponential, $\varphi$-function $d$-algebra

MSC numbers: 06F35