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On branchwise implicative BCI‐algebras

On branchwise implicative BCI‐algebras

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 …