Publication result detail

ON EL-semihypergroups

NOVÁK, M.

Original Title

ON EL-semihypergroups

English Title

ON EL-semihypergroups

Type

WoS Article

Original 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.

English 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

Key words in English

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

Authors

NOVÁK, M.

RIV year

2016

Released

16.02.2015

Publisher

Elsevier

ISBN

0195-6698

Periodical

EUROPEAN JOURNAL OF COMBINATORICS

Volume

44 (2015)

Number

B, Feb. 2015

State

United Kingdom of Great Britain and Northern Ireland

Pages from

274

Pages to

286

Pages count

13

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"
}