Result Details

Important elements of EL-hyperstructures

NOVÁK, M. Important elements of EL-hyperstructures. Journal of Applied Mathematics, 2011, vol. 2011, no. 4, p. 105-113. ISSN: 1337-6365.

Type

journal article

Language

English

Authors

Novák Michal, doc. RNDr., Ph.D., UMAT (FEEC)

Abstract

The contribution deals with hyperstructure theory. There exists a way of creating semi-hypergroups and hypergroups (or rather transposition hypergroups) from (quasi-) ordered semigroups and groups. Even though it has been widely used by some authors, properties of hyperstructures created in this way have not yet been comprehensively studied. In this contribution their identities and inverses are studied. The last section of the article includes application of the new results on some previous results. It is to be noted that results of this article may be used whenever a hyperstructure is created from a (quasi-) ordered (semi-) groups, which may be the case of differential or transformation operators, preference relations used in economics, matrix theory, etc.

Keywords

hyperstructure, identity, inverse, ordered group, quasi-ordered group

Published

2011

Pages

105–113

Journal

Journal of Applied Mathematics, vol. 2011, no. 4, ISSN 1337-6365

BibTeX

@article{BUT101183,
  author="Michal {Novák}",
  title="Important elements of EL-hyperstructures",
  journal="Journal of Applied Mathematics",
  year="2011",
  volume="2011",
  number="4",
  pages="105--113",
  issn="1337-6365"
}

Departments

Department of Mathematics (UMAT)