A New Approach to $n$-Ary Dynamical Hypersystem

Subject Areas : International Journal of Industrial Mathematics

اکبر دهقان نژاد ¹ , نویده صادری ²

1 - School of Mathematics, Iran University of Science and Technology, Tehran, Iran.
2 - Department of Mathematics, Yazd University, Yazd, Iran.

Received: 2021-09-29 Accepted : 2022-01-23 Published : 2022-04-01

Keywords: Action ‎group, hypergroup, $n$-Ary dynamical hypersystem, Universal n-ary hyperalgebra, Hyperstructure,

Abstract :

The primary aim of this paper is to investigate useful generalizations of the classical concept of action of a hyperstructure on a non-empty set. The main goal is to develop the theory of dynamical system to the theory of $n$-ary dynamical hypersystem. We also give some principal properties of an $n$-ary dynamical hypersystem.

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