General ω-hyperstructures and certain applications of those

Abstract

The aim of this paper is to investigate general hyperstructures construction of which is based on ideas of A. D. Nezhad and R. S. Hashemi. Concept of general hyperstructures considered by the above mentioned authors is generalized on the case of hyperstructures with hyperoperations of countable arity. Speci cations of treated concepts to examples from various elds of the mathematical sturctures theory are also included.

Keywords

• Action of a hyperstructure on a set, general n-hyperstructure, transformation hypergroup, Fredholm integral opera-tor, ordinary and partial di erential operator