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On f-derivations of BCI-algebras. (English) Zbl 1094.06013
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 f-derivation of a BCI-algebra, and give some of their properties. By means of regular f-derivation, a characterization of p-semisimple BCI-algebras is given.
Reviewer: Jie Meng (Xian)

MSC:
06F35BCK-algebras, BCI-algebras