An Embedding Theorem for Medial n-aryGroupoid with Cancellation

Author(s)

An Embedding Theorem for Medial n-aryGroupoid with Cancellation Sergey Davidov

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.

DOI: https://armjmath.sci.am/index.php/ajm/article/view/119 Armenian Journal of Mathematics, 7(2) 183-193

Download PDF

Keywords

n-ary groupoid, cancellationn-ary groupoid, medialn-arygroupoid,n-ary quasigroup

Check for updates

Share

Contact admin with any questions, comments or concerns

[email protected]