THE UNIQUE SQUARE ROOT CONDITION FOR QUASI-ORDER HYPERGROUPS AND CONSTRUCTION OF A SUBQUASI-ORDER HYPERGROUP
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F14%3A00520998" target="_blank" >RIV/60162694:G43__/14:00520998 - isvavai.cz</a>
Result on the web
<a href="http://vavtest.unob.cz/registr" target="_blank" >http://vavtest.unob.cz/registr</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
THE UNIQUE SQUARE ROOT CONDITION FOR QUASI-ORDER HYPERGROUPS AND CONSTRUCTION OF A SUBQUASI-ORDER HYPERGROUP
Original language description
Jan Chvalina in the paper: Commutative hypergroups in the sence of Marty and ordered sets has introduced a special type of hypergroups, so called quasi-order hypergroups and order hypergroups. By quasi-order hypergroups and order hypergroups we mean thehypergroups determined by a binary relation of quasiordering (ordering). Quasi-order hypergroups form a subclass of the class of all hypergroups, i.e. a structure with one associative hyperoperation fulfilling the reproduction axiom. In this paper properties of a certain class of hyperstructures are disscused. The aim of is to construct the functor called reflector from the category of all quasi-order hypergroup (QOHG) and their homomorphisms into its subcategory of all order hypergroup (OHG). By quasi-order hypergroups (order hypergroups) we mean the hypergroups determined by a binary relation of quasiordering (ordering). Moreover we we present an example of construction of subquasi-order hypergroup.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal of Algebraic Hyperstructures and it's Applications
ISSN
2383-2851
e-ISSN
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Volume of the periodical
1
Issue of the periodical within the volume
1
Country of publishing house
IQ - IRAQ
Number of pages
10
Pages from-to
59-68
UT code for WoS article
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EID of the result in the Scopus database
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