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Strong polynomial completeness of almost all quasigroups

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Publication:2113390
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DOI10.1134/S0001434622010023zbMath1491.20152MaRDI QIDQ2113390

Aleksey V. Galatenko, Anton E. Pankratiev, Vladimir V. Galatenko

Publication date: 14 March 2022

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

affinityquasigroupisotopysimplicitypolynomial completeness


Mathematics Subject Classification ID

Loops, quasigroups (20N05)


Related Items (1)

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Cites Work

  • The complexity of checking the polynomial completeness of finite quasigroups
  • An assertion concerning functionally complete algebras and NP-completeness
  • Almost all quasigroups have rank 2
  • Polynomially complete quasigroups of prime order
  • Generating uniformly distributed random latin squares
  • Characterization of polynomially complete quasigroups based on Latin squares for cryptographic transformations
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