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Several aspects of generalizing one construction of hyperstructures from quasi-ordered semigroups

NOVÁK, M.; KŘEHLÍK, Š. Several aspects of generalizing one construction of hyperstructures from quasi-ordered semigroups. International journal of algebraic hyperstructures and its applications, 2016, vol. 2 (2015), no. 1, p. 113-124. ISSN: 2383-2851.
Type
journal article
Language
English
Authors
Novák Michal, doc. RNDr., Ph.D., UMAT (FEEC)
Křehlík Štěpán, RNDr., Ph.D.
Abstract

EL-hyperstructures are hyperstructures constructed from single-valued quasi-ordered semigroups. For some kinds of sets it is difficult to find a meaningful single-valued associative operation which could be used as a basis for constructing the EL-hyperstructure. In this paper we use the systematic approach to defining it. We concentrate on multicomponent sets and briefly mention the n-ary context of the construction.

Keywords

EL-hyperstructures, quasi-ordered semigroups, hyperstructure theory

Published
2016
Pages
113–124
Journal
International journal of algebraic hyperstructures and its applications, vol. 2 (2015), no. 1, ISSN 2383-2851
BibTeX 
@article{BUT130580,
  author="Michal {Novák} and Štěpán {Křehlík}",
  title="Several aspects of generalizing one construction of hyperstructures from quasi-ordered semigroups",
  journal="International journal of algebraic hyperstructures and its applications",
  year="2016",
  volume="2 (2015)",
  number="1",
  pages="113--124",
  issn="2383-2851"
}
Departments
Department of Mathematics (UMAT)
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