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This article is cited in 6 scientific papers (total 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.
Received: 07.09.2016 Revised: 05.04.2017
Citation:
S. S. Davidov, “On the Structure of Medial Divisible $n$-Ary Groupoids”, Mat. Zametki, 104:1 (2018), 33–44; Math. Notes, 104:1 (2018), 29–38
Linking options:
https://www.mathnet.ru/eng/mzm11372https://doi.org/10.4213/mzm11372 https://www.mathnet.ru/eng/mzm/v104/i1/p33
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| Abstract page: | 466 | | Full-text PDF : | 89 | | References: | 73 | | First page: | 14 |
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