ON DERIVATIONS OF PSEUDO-BL ALGEBRA

Pseudo-BL algebras are a natural generalization of BL-algebras and of pseudo-MV algebras. In this paper the notions of five different types of derivations on a \pbl\ as generalizations of derivations of a BL-algebra are introduced. Moreover, as an extension of derivations of a \pbl , the notions of (φ,ψ)-derivations are defined on these types. Finally, several related properties are discussed.