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NOVÁK, M.
Original Title
ON EL-semihypergroups
Type
journal article in Web of Science
Language
English
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.
Keywords
hyperstructure theory, partially-ordered sets, quasi-ordered sets, semigroups
Authors
RIV year
2015
Released
16. 2. 2015
Publisher
Elsevier
ISBN
0195-6698
Periodical
EUROPEAN JOURNAL OF COMBINATORICS
Year of study
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" }