cujse Cankaya University Journal of Science and Engineering 2564-7954 Cankaya University Engineering Mühendislik On the Injectivity and Essential Extension of Dynamical Systems Mohamadhasani Mahboobeh 05 01 2013 10 1 05 01 2013 Copyright © 2009, Cankaya University Journal of Science and Engineering 2009 Cankaya University Journal of Science and Engineering

Injectivity of dynamical systems and essential extension of any dynamicalsystem are the most important notions in this paper. We prove the existence of injectiveextension for any dynamical system. Also we see that every dynamical system withoutany proper essential extension is injective.

 Injective dynamical system retract congruence relation essential extension [1] K. T. Alligood, T. D. Sauer and J. A. Yorke, CHAOS: An Introduction to Dynamical Systems, Springer-Verlag, New York 1996. [2] T. W. Hungerford, Algebra, Springer, 1974. [3] M. Mohamadhasani, Limit and colimit in the variety of dynamical systems, submitted.