Research Article
BibTex RIS Cite

On the Injectivity and Essential Extension of Dynamical Systems

Year 2013, Volume: 10 Issue: 1, - , 01.05.2013

Mahboobeh Mohamadhasani

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

  • [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.

Year 2013, Volume: 10 Issue: 1, - , 01.05.2013

Mahboobeh Mohamadhasani

Abstract

References

  • [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.
There are 3 citations in total.

Details

Subjects Engineering
Journal Section Articles
Authors

Mahboobeh Mohamadhasani

Publication Date May 1, 2013
Published in Issue Year 2013 Volume: 10 Issue: 1

Cite

APA Mohamadhasani, M. (2013). On the Injectivity and Essential Extension of Dynamical Systems. Cankaya University Journal of Science and Engineering, 10(1).
AMA Mohamadhasani M. On the Injectivity and Essential Extension of Dynamical Systems. CUJSE. May 2013;10(1).
Chicago Mohamadhasani, Mahboobeh. “On the Injectivity and Essential Extension of Dynamical Systems”. Cankaya University Journal of Science and Engineering 10, no. 1 (May 2013).
EndNote Mohamadhasani M (May 1, 2013) On the Injectivity and Essential Extension of Dynamical Systems. Cankaya University Journal of Science and Engineering 10 1
IEEE M. Mohamadhasani, “On the Injectivity and Essential Extension of Dynamical Systems”, CUJSE, vol. 10, no. 1, 2013.
ISNAD Mohamadhasani, Mahboobeh. “On the Injectivity and Essential Extension of Dynamical Systems”. Cankaya University Journal of Science and Engineering 10/1 (May 2013).
JAMA Mohamadhasani M. On the Injectivity and Essential Extension of Dynamical Systems. CUJSE. 2013;10.
MLA Mohamadhasani, Mahboobeh. “On the Injectivity and Essential Extension of Dynamical Systems”. Cankaya University Journal of Science and Engineering, vol. 10, no. 1, 2013.
Vancouver Mohamadhasani M. On the Injectivity and Essential Extension of Dynamical Systems. CUJSE. 2013;10(1).