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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.
Received: 19.07.2021 Revised: 21.08.2021
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
Linking options:
https://www.mathnet.ru/eng/mzm13229https://doi.org/10.4213/mzm13229 https://www.mathnet.ru/eng/mzm/v111/i1/p8
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Abstract page: | 242 | Full-text PDF : | 37 | References: | 46 | First page: | 20 |
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