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Zbl 1094.06013
Zhan, Jianming; Liu, Yong Lin
On $f$-derivations of BCI-algebras. (English)
[J] Int. J. Math. Math. Sci. 2005, No. 11, 1675-1684 (2005). ISSN 0161-1712; ISSN 1687-0425/e

The paper [{\it Y. B. Jun} and {\it 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.
[Jie Meng (Xian)]

MSC 2000:: *06F35 BCK-algebras, etc.

Keywords: BCI-algebra; $f$-derivation; $f$-ideal

Citations: Zbl 1044.06011

Cited in: Zbl 1218.06014

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