On (f,g)-Derivation in BCH-Algebra

Abstract

BCH-algebra is a non-empty set with the binary operation * and the constant 0, and statisfying the certain axioms. A mapping of d from X to itself is said to be a derivation in BCH-algebra if d is both (l,r)-derivation and (r,l)-derivation in BCH-algebra, where X is BCH-algebra. This article discusses the concepts of (l,r)-(f,g)-derivation, (r,l)-(f,g)-derivation, and (f,g)-derivation in BCH-algebra, and investigates the properties (l,r)-(f,g)-derivation, (r,l)-(f,g)-derivation and (f,g)-derivation in BCH-algebra.