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Mat. Zametki, 2018, Volume 104, Issue 1, Pages 33–44 (Mi mz11372)  

This article is cited in 1 scientific paper (total in 1 paper)

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.

DOI: https://doi.org/10.4213/mzm11372

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

Bibliographic databases:

UDC: 517
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

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. A. V. Cheremushkin, “Medialnye cilno zavisimye $n$-arnye operatsii”, Diskret. matem., 32:2 (2020), 112–121  mathnet  crossref
  • Математические заметки Mathematical Notes
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