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

Authors

  • Sergey Davidov Department of Mathematics and Mechanics, Yerevan State University Alek Manoogian 1, 0025, Yerevan, Armenia

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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Published

2015-12-10

Issue

Vol. 7 No. 2 (2015): Arshag Hajian: By the 85th Anniversary.

Section

Articles

How to Cite

[1]
S. Davidov, “An Embedding Theorem for Medial $\bf n$-ary Groupoid with Cancellation”, Armen.J.Math., vol. 7, no. 2, pp. 183–193, Dec. 2015, Accessed: Jan. 05, 2025. [Online]. Available: https://armjmath.sci.am/index.php/ajm/article/view/119