International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 49703, 18 pages

On hyper BCC-algebras

R. A. Borzooei,1 W. A. Dudek,2 and N. Koohestani1

1Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
2Institute of Mathematics and Computer Science, Wroclaw University of Technology, Wroclaw 50-370, Poland

Received 24 June 2005; Revised 4 June 2006; Accepted 21 June 2006

Copyright © 2006 R. A. Borzooei et al. 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.


We study hyper BCC-algebras which are a common generalization of BCC-algebras and hyper BCK-algebras. In particular, we investigate different types of hyper BCC-ideals and describe the relationship among them. Next, we calculate all nonisomorphic 22 hyper BCC-algebras of order 3 of which only three are not hyper BCK-algebras.