On generalized (g, h)-derivations of BH-algebras

Abstract

The notion of BCK–algebras was proposed by Imai and Iseki in 1966. In the same year Iseki introduced the notion of BCI-algebras, which is generalization of BCK- algebras. Y.B. Jun, E.H. Roh and H.S. Kim defined the notion of BH-algebras. Motivated by some results on derivations on rings and the generalizations of BCK and BCI-algebras. In 2019, P. Ganesan and N. Kandaraj introduced the notion of the various derivations on BH-algebras. In this paper, we study the notion of generalized (g, h)-derivations on BH–algebras and investigate simple, interesting and elegant results.