International Journal of Mathematics and Mathematical Sciences
Volume 29 (2002), Issue 7, Pages 417-425
On branchwise implicative BCI-algebras
Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
Received 19 April 2000
Copyright © 2002 Muhammad Anwar Chaudhry. 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 introduce a new class of BCI-algebras, namely the class of
branchwise implicative BCI-algebras. This class contains the
class of implicative BCK-algebras, the class of weakly implicative
BCI-algebras (Chaudhry, 1990), and the class of medial BCI-algebras.
We investigate necessary and sufficient conditions for two types of BCI-algebras
to be branchwise implicative BCI-algebras.