A New View of Homomorphic Properties of BCK-Algebra in Terms of Some Notions of Discrete Dynamical System

In the present manuscript, we introduce concept of a discrete dynamical system (Ⱬ,Ψ) in BCK-algebra where Ⱬ is and Ψ homomorphism from to establish some their related properties. We prove that set all fixed points periodic are BCK-subalgebras. show when subset invariant concerning Ψ. commutative with relative cancellation property ideals Ⱬ. also an S-invariant