Derivations of Bd-Algebras were Constructed into Semigroups

Bantaojai et al. introduced the algebraic structure called Bd-algebras in 2022 as a nonempty set with the binary operation ∗ and the constant 0, satisfying some properties. In this article, we present the notions of left-right (right-left) derivations and derivations in Bd-algebras. After that, we examine some features of left-right (right-left) derivations and derivations in Bd-algebras. Finally, we show some semigroups that use the set of all derivations of Bd-algebras and some binary operations on that set.