International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 14, Article ID 49703, 18 pages
doi:10.1155/IJMMS/2006/49703
On hyper BCC-algebras
R.A. Borzooei1
, W.A. Dudek2
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
Abstract
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.