Dynamical systems and congruence relations

ABSTRACT

This study is an endeavour to construct the tensor products and the direct limits of dynamical systems through the utilization of the congruence relations and also to investigate the basic properties of the respective concepts. Moreover, the application of such relations entailed the reification of the quotient dynamical systems as well as isomorphism theorems.

KEYWORDS:

• Dynamical system
• direct limit
• tensor product

2010 MATHEMATICS SUBJECT CLASSIFICATION:

• 20N20

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Notes on contributors

S. Ostadhadi-Dehkordi

S. Ostadhadi- Dehkordi received the M. Sc degree in the pure mathematics (Homological algebra) from Kharazmi University, Iran in 2008. He has received his PhD degree in the area of Hyperstructures theory specially hyperring theory from Yazd University, Iran, in 2012. He has currently working in the Department of mathematics, University of Hormozgan, Iran. He has six years of teaching and working on Hyperstructures theory and applications. His research interest includes group theory, ring theory, module theory and their applications, algebraic hyperstructure theory, fuzzy sets, fuzzy logic, rough sets, probability theory and combinatorics.

M. Karimi Amaleh

M. Karimi- Amaleh received the M. Sc degree in the pure mathematics (Complex geometry) from Sharif University, Iran in 2007. He has received his PhD degree in the area of differential equations and dynamical systems from Ferdowsi University of Mashhad, Iran, in 2011. He has currently working in the Department of mathematics, University of Hormozgan, Iran. He has seven years of teaching and working on Dynamical systems and bifurcation theory. His research interest includes ordinary differential equations, dynamical system and bifurcation theory.