Publication result detail

n-ary hyperstructures constructed from binary quasi-ordered semigroups

NOVÁK, M.

Original Title

n-ary hyperstructures constructed from binary quasi-ordered semigroups

English Title

n-ary hyperstructures constructed from binary quasi-ordered semigroups

Type

WoS Article

Original Abstract

Based on works by Davvaz, Vougiouklis and Leoreanu-Fotea in the field of n-ary hyperstructures and binary relations we present a construction of n-ary hyperstructures from binary quasi-ordered semigroups. We not only construct the hyperstructures but also study their important elements such as identities, scalar identities or zeros. We also relate the results to earlier results obtained for a similar binary construction and include an application of the results on a hyperstructure of linear differential operators.

English abstract

Based on works by Davvaz, Vougiouklis and Leoreanu-Fotea in the field of n-ary hyperstructures and binary relations we present a construction of n-ary hyperstructures from binary quasi-ordered semigroups. We not only construct the hyperstructures but also study their important elements such as identities, scalar identities or zeros. We also relate the results to earlier results obtained for a similar binary construction and include an application of the results on a hyperstructure of linear differential operators.

Keywords

hyperstructures, n-ary hyperstructures, partially ordered sets, quasi-ordered sets

Key words in English

hyperstructures, n-ary hyperstructures, partially ordered sets, quasi-ordered sets

Authors

NOVÁK, M.

RIV year

2015

Released

10.05.2014

Publisher

Ovidius University

ISBN

1224-1784

Periodical

Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica

Volume

22

Number

3

State

Romania

Pages from

147

Pages to

168

Pages count

22

URL

http://www.anstuocmath.ro/mathematics//vol_22-3/Novak_M..pdf

Full text in the Digital Library

http://hdl.handle.net/11012/200912

BibTex

@article{BUT107452,
  author="Michal {Novák}",
  title="n-ary hyperstructures constructed from binary quasi-ordered semigroups",
  journal="Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica",
  year="2014",
  volume="22",
  number="3",
  pages="147--168",
  doi="10.2478/auom-2014-0056",
  issn="1224-1784",
  url="http://www.anstuocmath.ro/mathematics//vol_22-3/Novak_M..pdf"
}

Documents

10.2478_auom-2014-0056