Lattices of classes of groupoids with one-sided quasigroup conditions

It is shown that two classes of groupoids satisfying certain one-sided quasigroup conditions, namely the classes of one-sided torsion groupoids and of one-sided finite exponent groupoids, are complete lattices, both isomorphic to the lattice of Steinitz numbers with  the divisibility relation.

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Bibliographic Details
Date:2018
Main Author: Galuszka, Jan
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/620
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Journal Title:Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics

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