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Matematicheskie Zametki, 2022, Volume 111, Issue 1, Pages 8–14
DOI: https://doi.org/10.4213/mzm13229 (Mi mzm13229) 		 
Strong Polynomial Completeness of Almost All Quasigroups

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

Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/mzm13229
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.
Funding agency Grant number
Defence Research and Development Organisation (DRDO) SAG/4600/TCID/Prog/QGSEC
This work was financially supported by DRDO (India), the project “Quasigroup Based Cryptography: Security Analysis and Development of Crypto-Primitives and Algorithms (QGSEC)”, grant no. SAG/4600/TCID/Prog/QGSEC.
Received: 19.07.2021
Revised: 21.08.2021
English version:
Mathematical Notes, 2022, Volume 111, Issue 1, Pages 7–12
DOI: https://doi.org/10.1134/S0001434622010023
Bibliographic databases:
Document Type: Article
UDC: 512.548.7+519.716.2
Language: Russian
Citation: A. V. Galatenko, V. V. Galatenko, A. E. Pankratiev, “Strong Polynomial Completeness of Almost All Quasigroups”, Mat. Zametki, 111:1 (2022), 8–14; Math. Notes, 111:1 (2022), 7–12
Citation in format AMSBIB
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