International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 11, Pages 1675-1684
On -derivations of BCI-algebras
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
3Department of Mathematics, Nanping Teachers College, Fujian, Nanping 353000, China
Received 14 December 2004; Revised 16 May 2005
Copyright © 2005 Jianming Zhan and Yong Lin Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The notion of left-right (resp., right-left) -derivation of a BCI-algebra is introduced, and some related properties are
investigated. Using the idea of regular -derivation, we give characterizations of a -semisimple BCI-algerba.