THE UNIQUE SQUARE ROOT CONDITION FOR QUASI-ORDER HYPERGROUPS AND CONSTRUCTION OF A SUBQUASI-ORDER HYPERGROUP

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

THE UNIQUE SQUARE ROOT CONDITION FOR QUASI-ORDER HYPERGROUPS AND CONSTRUCTION OF A SUBQUASI-ORDER HYPERGROUP

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

THE UNIQUE SQUARE ROOT CONDITION FOR QUASI-ORDER HYPERGROUPS AND CONSTRUCTION OF A SUBQUASI-ORDER HYPERGROUP

Popis výsledku anglicky

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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2014

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

International Journal of Algebraic Hyperstructures and it's Applications

ISSN

2383-2851

e-ISSN

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Svazek periodika

1

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

IQ - Irácká republika

Počet stran výsledku

10

Strana od-do

59-68

Kód UT WoS článku

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EID výsledku v databázi Scopus

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