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Parallelogram spaces and medial quasigroups

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F12%3APU102370" target="_blank" >RIV/00216305:26110/12:PU102370 - isvavai.cz</a>

  • Alternative codes found

    RIV/61989592:15310/12:33142307

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Parallelogram spaces and medial quasigroups

  • Original language description

    Our aim is to show that a more general class of the so-called parallelogram spaces can be viewed as a generalization of affine spaces. Natural examples arise from medial quasigroups. The apparatus of parallelograms also enables us to prove a version of Toyoda's Theorem that relates a given medial quasigroup to a particular commutative group.

  • 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

    <a href="/en/project/GAP201%2F11%2F0356" target="_blank" >GAP201/11/0356: Riemannian, pseudo-Riemannian and affine differential geometry</a><br>

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2012

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Journal of Applied Mathematics

  • ISSN

    1337-6365

  • e-ISSN

  • Volume of the periodical

    2012 (5)

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    SK - SLOVAKIA

  • Number of pages

    8

  • Pages from-to

    133-140

  • UT code for WoS article

  • EID of the result in the Scopus database