International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 11, Pages 1675-1684
doi:10.1155/IJMMS.2005.1675

On f-derivations of BCI-algebras

Jianming Zhan1 and Yong Lin Liu2

1Department of Mathematics, Hubei Institute for Nationalities, Hubei Province, Enshi 445000, China
2Department of Applied Mathematics, School of Science, Xidian University, Shaanxi, Xi'an 710071, China

Abstract

The notion of left-right (resp., right-left) f-derivation of a BCI-algebra is introduced, and some related properties are investigated. Using the idea of regular f-derivation, we give characterizations of a p-semisimple BCI-algerba.