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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2022 Volume 111, Issue 1, Pages 8–14 (Mi mzm13229)
This article is cited in 3 papers

Strong Polynomial Completeness of Almost All Quasigroups

A. V. Galatenko, V. V. Galatenko, A. E. Pankratiev

Lomonosov Moscow State University

Abstract: In the paper, it is proved that almost all quasigroups are strongly polynomially complete, i.e., are not isotopic to quasigroups that are not polynomially complete.

Keywords: quasigroup, isotopy, simplicity, affinity, polynomial completeness.

UDC: 512.548.7+519.716.2

Received: 19.07.2021
Revised: 21.08.2021

DOI: 10.4213/mzm13229


 English version: Mathematical Notes, 2022, 111:1, 7–12

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© Steklov Math. Inst. of RAS, 2025