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Algebra and Discrete Mathematics, 2010, Volume 9, Issue 1, Pages 31–40 (Mi adm19)  
This article is cited in 1 scientific paper (total in 1 paper)

RESEARCH ARTICLE

Lattices of classes of groupoids with one-sided quasigroup conditions

Jan Gałuszka

Institute of Mathematics, Silesian University of Technology, Kaszubska 23, 44-100 Gliwice, Poland
Full-text PDF (233 kB) Citations (1)
Abstract: It is shown that two classes of groupoids satisfying certain one-sided quasigroup conditions, namely the classes of onesided torsion groupoids and of one-sided finite exponent groupoids, are complete lattices, both isomorphic to the lattice of Steinitz numbers with the divisibility relation.
Keywords: Groupoid, quasigroup, right quasigroup, left quasigroup, Steinitz numbers.
Received: 26.11.2009
Revised: 26.11.2009
Bibliographic databases:
Document Type: Article
MSC: 05B15, 08A30, 08A40, 08A62, 08A99, 14R10, 20N02, 20N05
Language: English
Citation: Jan Gałuszka, “Lattices of classes of groupoids with one-sided quasigroup conditions”, Algebra Discrete Math., 9:1 (2010), 31–40
Citation in format AMSBIB
\Bibitem{Gal10}
\by Jan Ga\l uszka
\paper Lattices of classes of groupoids with one-sided quasigroup conditions
\jour Algebra Discrete Math.
\yr 2010
\vol 9
\issue 1
\pages 31--40
\mathnet{http://mi.mathnet.ru/adm19}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2676710}
\zmath{https://zbmath.org/?q=an:1209.20067}
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  • https://www.mathnet.ru/eng/adm/v9/i1/p31
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Algebra and Discrete Mathematics
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