Publication detail

Some basic properties of EL-hyperstructures

NOVÁK, M.

Original Title

Some basic properties of EL-hyperstructures

Type

journal article in Web of Science

Language

English

Original Abstract

In canonical books on hyperstructures a number of applications of hyperstructure theory and its relations to various areas of mathematics are included. The relations of hyperstructures and ordered sets have been touched upon by Vougiouklis or Corsini. One aspect of this issue was thoroughly studied by Chvalina and Rosenberg. Cristea, Spartalis and others have been exploring other aspects such as generalization of the relations or constructing special cases. In this paper we present a theoretical background for the use of the Ends lemma - another construction often used to create hyperstructures from quasi/partially ordered (semi)groups in a number of contexts including the study of differential equations, matrix theory or applications of preference relations in microeconomics.

Keywords

hyperstructure, quasi-ordering, partially ordered groups

Authors

NOVÁK, M.

RIV year

2013

Released

1. 2. 2013

ISBN

0195-6698

Periodical

EUROPEAN JOURNAL OF COMBINATORICS

Year of study

2013 (34)

Number

2

State

United Kingdom of Great Britain and Northern Ireland

Pages from

446

Pages to

459

Pages count

14

BibTex

@article{BUT96608,
  author="Michal {Novák}",
  title="Some basic properties of EL-hyperstructures",
  journal="EUROPEAN JOURNAL OF COMBINATORICS",
  year="2013",
  volume="2013 (34)",
  number="2",
  pages="446--459",
  issn="0195-6698"
}