General actions of hyperstructures and some applications

Author:

Chvalina Jan1,Hošková-Mayerová Šárka2,Nezhad A. D.3

Affiliation:

1. 1Department of Mathematics, Brno University of Technology, Technická, 10, 61600 Brno, Czech Republic

2. 2Department of Mathematics and Physics, University of Defence, Kounicova 65, 662 10 Brno, Czech Republic

3. 3Faculty of Mathematics, Yazd University, Yazd, Iran

Abstract

Abstract The aim of this paper is to investigate useful generalizations of the classical concept of a quasi-automaton without outputs or a discrete dynamical system, which are also called actions of semigroups or groups on given phase sets. The paper contains also certain applications of presented concepts and examples from various areas of mathematics.

Publisher

Walter de Gruyter GmbH

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