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International Journal of Mathematics and Mathematical Sciences - Volume 29 2002, Issue 7, Pages 417-425

Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

Received 19 April 2000

Copyright © 2002 Hindawi Publishing Corporation. 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 ofbranchwise implicative BCI-algebras. This class contains theclass of implicative BCK-algebras, the class of weakly implicativeBCI-algebras Chaudhry, 1990, and the class of medial BCI-algebras.We investigate necessary and sufficient conditions for two types of BCI-algebrasto be branchwise implicative BCI-algebras.

Author: Muhammad Anwar Chaudhry

Source: https://www.hindawi.com/


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