Publication result detail

Important elements of EL-hyperstructures

NOVÁK, M.

Original Title

Important elements of EL-hyperstructures

English Title

Important elements of EL-hyperstructures

Type

Peer-reviewed article not indexed in WoS or Scopus

Original 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.

English 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

Key words in English

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

Authors

NOVÁK, M.

RIV year

2014

Released

01.11.2011

ISBN

1337-6365

Periodical

Journal of Applied Mathematics

Volume

2011

Number

4

State

Slovak Republic

Pages from

105

Pages to

113

Pages count

9

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"
}