International Journal of Mathematics and Mathematical Sciences
Volume 29 (2002), Issue 7, Pages 417-425
doi:10.1155/S0161171202004970
On branchwise implicative BCI-algebras
Muhammad Anwar Chaudhry
Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
Abstract
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.