An Embedding Theorem for Medial $\bf n$-ary Groupoid with Cancellation
Abstract
In 1949 M.~Sholander proved that every medial cancellation groupoid can be embedded into a medial quasigroup. In this paper we prove that it is also true for $n$-ary cancellation groupoids, namely, every medial cancellation $n$-ary groupoid can be embedded into a medial $n$-ary quasigroup.
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2015-12-10
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An Embedding Theorem for Medial $\bf n$-ary Groupoid with Cancellation. (2015). Armenian Journal of Mathematics, 7(2), 183-193. http://test.armjmath.sci.am/index.php/ajm/article/view/119