Přístupnostní navigace
E-přihláška
Vyhledávání Vyhledat Zavřít
Detail publikace
NOVÁK, M. KŘEHLÍK, Š. CRISTEA, I.
Originální název
Cyclicity in EL-hypergroups
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
In the algebra of single-valued structures, cyclicity is one of the fundamental properties of groups. Therefore, it is natural to study it also in the algebra of multivalued structures (algebraic hyperstructure theory). However, when one considers the nature of generalizing this property, at least two (or rather three) approaches seem natural. Historically, all of these had been introduced and studied by 1990. However, since most of the results had originally been published in journals without proper international impact and later—without the possibility to include proper background and context-synthetized in books, the current way of treating the concept of cyclicity in the algebraic hyperstructure theory is often rather confusing. Therefore, we start our paper with a rather long introduction giving an overview and motivation of existing approaches to the cyclicity in algebraic hyperstructures. In the second part of our paper, we relate these to EL-hyperstructures, a broad class of algebraic hyperstructures constructed from (pre)ordered (semi)groups, which were defined and started to be studied much later than sources discussed in the introduction were published.
Klíčová slova
cyclic group; cyclic hypergroup; EL-hyperstructure; preorder
Autoři
NOVÁK, M.; KŘEHLÍK, Š.; CRISTEA, I.
Vydáno
7. 11. 2018
Nakladatel
MDPI
ISSN
2073-8994
Periodikum
Symmetry
Ročník
10
Číslo
11
Stát
Švýcarská konfederace
Strany od
1
Strany do
13
Strany počet
URL
https://www.mdpi.com/2073-8994/10/11/611
Plný text v Digitální knihovně
http://hdl.handle.net/11012/137215
BibTex
@article{BUT151055, author="Michal {Novák} and Štěpán {Křehlík} and Irina {Cristea}", title="Cyclicity in EL-hypergroups", journal="Symmetry", year="2018", volume="10", number="11", pages="1--13", doi="10.3390/sym10110611", issn="2073-8994", url="https://www.mdpi.com/2073-8994/10/11/611" }