Armenian Journal of Mathematics, 7(2)
2015; 183–193
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An Embedding Theorem for Medial n-aryGroupoid with Cancellation

Sergey Davidov*

Received: 2024-12-19 · Published: 2015-12-10

© 2015 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
An Embedding Theorem for Medial n-aryGroupoid with Cancellation
Author
Sergey Davidov
Source journal
Armenian Journal of Mathematics, 7(2)
Published
2015-12-10
Licence
Creative Commons Attribution 4.0 International
Original
https://armjmath.sci.am/index.php/ajm/article/view/119

Abstract

In 1949 M. Sholander proved that every medialcancellation groupoid can be embedded into a medial quasigroup.In this paper we prove that it is also true forn-ary cancellationgroupoids, namely, every medial cancellationn-ary groupoid canbe embedded into a medialn-ary quasigroup.
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