On (α,β)‎-Derivations in BCI-Algebras

الملخص EN

The notion of (regular) (α,β)-derivations of a BCI-algebra X is introduced, some useful examples are discussed, and related properties are investigated.

The condition for a (α,β)-derivation to be regular is provided.

The concepts of a d(α,β)-invariant (α,β)-derivation and α-ideal are introduced, and their relations are discussed.

Finally, some results on regular (α,β)-derivations are obtained.