TY - JOUR TT - On the Injectivity and Essential Extension of Dynamical Systems AU - Mohamadhasani, Mahboobeh PY - 2013 DA - May JF - Cankaya University Journal of Science and Engineering JO - CUJSE PB - Cankaya University WT - DergiPark SN - 2564-7954 VL - 10 IS - 1 KW - Injective dynamical system KW - retract KW - congruence relation KW - essential extension N2 - 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. CR - [1] K. T. Alligood, T. D. Sauer and J. A. Yorke, CHAOS: An Introduction to Dynamical Systems, Springer-Verlag, New York 1996. CR - [2] T. W. Hungerford, Algebra, Springer, 1974. CR - [3] M. Mohamadhasani, Limit and colimit in the variety of dynamical systems, submitted. UR - https://dergipark.org.tr/en/pub/cankujse/article/369016 L1 - https://dergipark.org.tr/en/download/article-file/387517 ER -