Mahboobeh Mohamadhasani

316

On the Injectivity and Essential Extension of Dynamical Systems

On the Injectivity and Essential Extension of Dynamical Systems

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,

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[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.

Cankaya University Journal of Science and Engineering-Cover

Yayın Aralığı: Yılda 2 Sayı
Başlangıç: 2009
Yayıncı: Çankaya Üniversitesi

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