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Construction of the smallest common coarser of two and three set partitions

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F14%3A00501616" target="_blank" >RIV/60162694:G43__/14:00501616 - 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

Alternative languages

  • Result language

    angličtina

  • Original language name

    Construction of the smallest common coarser of two and three set partitions

  • Original language description

    This paper is inspired by a text of the book "Úvod do algebry" in Czech, "Introduction to Algebra" in English, of the authors Ladislav Kosmák and Radovan Potůček. They followed the great work of Profes-sor Otakar Boruvka in the field of the partition theory, groupoids and groups and gave them in the context to contemporary modern algebra. Academian Boruvka have deduced and proved many results concerning the partition theory in his publications, which were published during World War II and in the post-war years. In this paper we deal with a construction of the smallest common coarser of two set partitions associated with equivalence relations, we give a special relation used in the construction and an illustration of blocks of this coarser.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • 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

    Analele Stiintifice ale Universitatii "Ovidius" Constanta, Seria Matematica

  • ISSN

    1224-1784

  • e-ISSN

  • Volume of the periodical

    XXII

  • Issue of the periodical within the volume

    1/2014

  • Country of publishing house

    RO - ROMANIA

  • Number of pages

    10

  • Pages from-to

    237-246

  • UT code for WoS article

  • EID of the result in the Scopus database