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A Brief Survey on the two Different Approaches of Fundamental Equivalence Relations on Hyperstructures

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F17%3A00534905" target="_blank" >RIV/60162694:G43__/17:00534905 - isvavai.cz</a>

  • Result on the web

    <a href="http://eiris.it/ojs/index.php/ratiomathematica/article/view/388" target="_blank" >http://eiris.it/ojs/index.php/ratiomathematica/article/view/388</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.23755/rm.v33i0.388" target="_blank" >10.23755/rm.v33i0.388</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    A Brief Survey on the two Different Approaches of Fundamental Equivalence Relations on Hyperstructures

  • Original language description

    Fundamental structures are the main tools in the study of hyperstructures. Fundamental equivalence relations link hyperstructure theory to the theory of corresponding classical structures. They also introduce new hyperstructure classes.The present paper is a brief reference to the two different approaches to the notion of the fundamental relation in hyperstructures. The first one belongs to Koskas, who introduced the β ∗ - relation in hyperstructures and the second approach to Vougiouklis, who gave the name fundamental to the resulting quotient sets. The two approaches, the necessary definitions and the theorems for the introduction of the fundamental equivalence relation in hyperstructures, are presented.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>ost</sub> - Miscellaneous article in a specialist periodical

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2017

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Ratio Mathematica

  • ISSN

    1592-7415

  • e-ISSN

    2282-8214

  • Volume of the periodical

    2017

  • Issue of the periodical within the volume

    33

  • Country of publishing house

    IT - ITALY

  • Number of pages

    14

  • Pages from-to

    47-60

  • UT code for WoS article

  • EID of the result in the Scopus database