Abstract
BCL/BCL⁺ -algebras were introduced by Yonghong Liu [1, 2],
which are more extensive class than BCK/BCI/BCH-algebras [9-11].
In this work we introduce the notion of the extended distribution law
in BCL⁺ -algebras, i.e., we study shows that the distribution rules like
left (resp. right) distribution rule, left (resp. right) weakly distribution
rule, left (resp. right) strongly distribution rule, etc. In particular,
properties of distributive BCL⁺ -algebras are investigated.