Result Details

ON EL-semihypergroups

NOVÁK, M. ON EL-semihypergroups. EUROPEAN JOURNAL OF COMBINATORICS, 2015, vol. 44 (2015), no. B, Feb. 2015, p. 274-286. ISSN: 0195-6698.

Type

journal article

Language

English

Authors

Novák Michal, doc. RNDr., Ph.D., FEKT Děkanát (FEEC), UMAT (FEEC)

Abstract

This paper is a contribution to the investigation of hyperstructures in connection with binary relations, i.e. to one of the areas covered by canonical books on hyperstructure theory. We use a construction of hyperstructures from quasi- or partially ordered semigroups and study cases which result in semihypergroups such that the reproductive law does not hold. First, such cases are identified. Then we study some of their properties. Examples as well as some applications on isolated particular results obtained earlier without the theoretical background of this paper are included.

Keywords

hyperstructure theory, partially-ordered sets, quasi-ordered sets, semigroups

Published

2015

Pages

274–286

Journal

EUROPEAN JOURNAL OF COMBINATORICS, vol. 44 (2015), no. B, Feb. 2015, ISSN 0195-6698

Publisher

Elsevier

DOI

10.1016/j.ejc.2014.08.014

UT WoS

000347766500015

EID Scopus

2-s2.0-85027954882

BibTeX

@article{BUT112957,
  author="Michal {Novák}",
  title="ON EL-semihypergroups",
  journal="EUROPEAN JOURNAL OF COMBINATORICS",
  year="2015",
  volume="44 (2015)",
  number="B, Feb. 2015",
  pages="274--286",
  doi="10.1016/j.ejc.2014.08.014",
  issn="0195-6698"
}

Departments

Department of Mathematics (UMAT)