We present a necessary and sufficient condition for BCI-algebra X
to be of KL- product, this condition is pure numerical, that is the
number of elements of the row which is opposite to the zero element
in the Cayley table of the operation divides the number of elements
in each row of the mentioned table.
A BCI-algebra is a non-empty set X with a binary operation, distinguished
element 0, and the binary operation satisfying some conditions.
In this paper we presents a generalization of some important known
identities in BCI-algebras that could be help in starting new studies in this field.
