Result Details

n-ary hyperstructures constructed from binary quasi-ordered semigroups

NOVÁK, M. n-ary hyperstructures constructed from binary quasi-ordered semigroups. Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica, 2014, vol. 22, no. 3, p. 147-168. ISSN: 1224-1784.
Type
journal article
Language
English
Authors
Novák Michal, doc. RNDr., Ph.D., UMAT (FEEC)
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

URL
Published
2014
Pages
147–168
Journal
Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica, vol. 22, no. 3, ISSN 1224-1784
Publisher
Ovidius University
DOI
10.2478/auom-2014-0056
UT WoS
000336643500011
EID Scopus
2-s2.0-84900415349
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"
}
Files
Departments
Department of Mathematics (UMAT)
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