On the Injectivity and Essential Extension of Dynamical Systems

Abstract

Injectivity of dynamical systems and essential extension of any dynamical system are the most important notions in this paper. We prove the existence of injective extension for any dynamical system. Also we see that every dynamical system without any proper essential extension is injective.

Keywords

• Injective dynamical system,retract,congruence relation,essential extension

References

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