This article is cited in 6 papers

On the Structure of Medial Divisible $n$-Ary Groupoids

S. S. Davidov

Yerevan State University

Abstract: It is proved that a finitely generated medial divisible $n$-ary groupoid is a medial $n$-ary quasigroup, and each medial divisible $n$-ary groupoid is a homomorphic image of a medial $n$-ary quasigroup.

Keywords: $n$-ary groupoid, divisible groupoid, medial groupoid, $n$-ary quasigroup.

UDC: 517

Received: 07.09.2016
Revised: 05.04.2017

DOI: 10.4213/mzm11372

 English version: Mathematical Notes, 2018, 104:1, 29–38

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