Natural Science, Mathematics, 2025
An Embedding Theorem for Medial n-aryGroupoid with Cancellation
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Submitted: 2024-12-18; Published: 2024-12-18
© 2024 by author(s) and The Gufo Inc.
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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.