An Embedding Theorem for Medial $\bf n$-ary Groupoid with Cancellation

Davidov, Sergey (2015) An Embedding Theorem for Medial $\bf n$-ary Groupoid with Cancellation. Armenian Journal of Mathematics, 7 (2). pp. 183-193. ISSN 1829-1163

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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.

Item Type: Article 08-xx General algebraic systems20-xx Group theory and generalizations 642 Dr. Sergey Davidov 10 Dec 2015 23:24 10 Dec 2015 23:24

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