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A class of hyperlattices induced by quasi-ordered semigroups

NOVÁK, M.; CRISTEA, I.; KŘEHLÍK, Š. A class of hyperlattices induced by quasi-ordered semigroups. In 16th Conference on Applied Mathematics (APLIMAT 2017), Proceedings. Bratislava: Slovak University of Technology in Bratislava, 2017. p. 1124-1135. ISBN: 9788022746502.
Type
conference paper
Language
English
Authors
Novák Michal, doc. RNDr., Ph.D., UMAT (FEEC)
Cristea Irina, doc. dr., UMAT (FEEC)
Křehlík Štěpán, RNDr., Ph.D.
Abstract

In this paper we study hyperstructure generalizations of lattices. We give conditions for EL-semihypergroups to be Hv-semilattices, hypersemilattices or hyperlattices. We also study some of their special elements.

Keywords

Hv-semilattice, hypersemilattice, hyperlattice, quasi-ordered semigroup

URL
Published
2017
Pages
1124–1135
Proceedings
16th Conference on Applied Mathematics (APLIMAT 2017), Proceedings
Edition
1
Conference
Aplimat 2017
ISBN
9788022746502
Publisher
Slovak University of Technology in Bratislava
Place
Bratislava
EID Scopus
BibTeX
@inproceedings{BUT142313,
  author="Michal {Novák} and Irina {Cristea} and Štěpán {Křehlík}",
  title="A class of hyperlattices induced by quasi-ordered semigroups",
  booktitle="16th Conference on Applied Mathematics (APLIMAT 2017), Proceedings",
  year="2017",
  number="1",
  pages="1124--1135",
  publisher="Slovak University of Technology in Bratislava",
  address="Bratislava",
  isbn="9788022746502",
  url="http://www.proceedings.com/33721.html"
}
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