An Embedding Theorem for Medial n-aryGroupoid with Cancellation

Davit Shahnazaryan

Received N/A; revised N/A; accepted N/A

This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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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An Embedding Theorem for Medial n-aryGroupoid with Cancellation

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