The paper [Y. B. Jun
and X. L. Xin
, “On derivations of BCI-algebras”, Inf. Sci. 159, 167–176 (2004; Zbl 1044.06011
)] generalized the concept of derivation in rings and near-rings to BCI-algebras. Based on the above paper, in this paper the authors further introduce the notions of left-right resp. right-left
-derivation of a BCI-algebra, and give some of their properties. By means of regular
-derivation, a characterization of
-semisimple BCI-algebras is given.