Result Details

EL-semihypergroups in which the quasi-ordering is not antisymmetric

NOVÁK, M. EL-semihypergroups in which the quasi-ordering is not antisymmetric. In Mathematics, Information Technologies and Applied Sciences 2017: post-conference proceedings of extended versions of selected papers. Brno: University of Defence, 2017. p. 183-192. ISBN: 978-80-7582-026-6.
Type
conference paper
Language
English
Authors
Novák Michal, doc. RNDr., Ph.D., UMAT (FEEC)
Abstract

EL-hyperstructures are a class of hyperstructures constructed from quasi-ordered semigroups. Their construction - in its original version - uses partial ordering. However, antisymmetry is often not needed to achieve desired results. In this paper we focus on such cases. We also discuss implications of the quasi-ordering being moreover symmetric, i.e. an equivalence.

Keywords

EL-hyperstructures, equivalence, hyperstructure theory, quasi-ordered semigroups, partially ordered semigroup

URL
Published
2017
Pages
183–192
Proceedings
Mathematics, Information Technologies and Applied Sciences 2017: post-conference proceedings of extended versions of selected papers
Conference
MITAV (Mathematics, Information Technologies, and Applied Sciences)
ISBN
978-80-7582-026-6
Publisher
University of Defence
Place
Brno
UT WoS
000576896800021
BibTeX 
@inproceedings{BUT143730,
  author="Michal {Novák}",
  title="EL-semihypergroups in which the quasi-ordering is not antisymmetric",
  booktitle="Mathematics, Information Technologies and Applied Sciences 2017: post-conference proceedings of extended versions
of selected papers",
  year="2017",
  pages="183--192",
  publisher="University of Defence",
  address="Brno",
  isbn="978-80-7582-026-6",
  url="http://mitav.unob.cz/data/MITAV%202017%20Proceedings.pdf"
}
Departments
Department of Mathematics (UMAT)
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