Generalized (𝜶,𝜷)-derivations on 𝒅-algebras

In this thesis, firstly, BCK-algebras, one of the important representatives of algebra types, are introduced and d-algebras, which appear as a generalization of this algebraic structure, are given with their basic properties. The properties provided by two different derivation notions in d-algebras are listed. Then, generalized (α, β)-derivations, α-ideal, G-invariant ideal are defined in d-algebras and their properties are examined. Finally, the relationship between the right generalized (α, β)-derivation given on an edge d-algebra and these ideals types is investigated.