Detail publikačního výsledku

Important elements of EL-hyperstructures

NOVÁK, M.

Originální název

Important elements of EL-hyperstructures

Anglický název

Important elements of EL-hyperstructures

Druh

Článek recenzovaný mimo WoS a Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

NOVÁK, M.

Rok RIV

2014

Vydáno

01.11.2011

ISSN

1337-6365

Periodikum

Journal of Applied Mathematics

Svazek

2011

Číslo

4

Stát

Slovenská republika

Strany od

105

Strany do

113

Strany počet

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"
}