notion of soft BCL-algebras. This paper is a study on algebraic structure of BCL⁺
-algebra, which is used for the extended distributive law, that is left (resp. right)
distribution rule, left (resp. right) weakly distribution rule, left (resp. right)
strongly distribution rule, left (resp. right) quasi-distribution rules. We give some
characterizations of distributive BCL⁺ -algebras. Here, the remainder of the paper
is organized as follows:
Section 2 deals with some basic concept of BCL⁺ -algebras. Section 3, for BCL⁺
-algebras, we introduce the notion of extended distribution rules. For the extended
reason, some basic properties of the distributive BCL⁺ -algebras are derived.