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Remarks on quasigroups and $n$-quasigroups
Publicationes Mathematicae Debrecen, 2022Ellis, David B., Utz, Winfried Roy jun.
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MDS codes based on orthogonality of quasigroups
Applicable Algebra in Engineering, Communication and Computing, 2023Satish Kumar +3 more
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The Security of Quasigroups Based Substitution Permutation Networks
IACR Cryptology ePrint Archive, 2022George Teşeleanu
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2007
Plastic quasigroups are idempotent medial quasigroups satisfying the identity a.(a.ab)b=b. Our main result is a one-to-one correspondence with G2-quasigroups, studied in an earlier paper. A Toyoda-like representation theorem for plastic quasigroups is proved.
Krčadinac, Vedran, Volenec, Vladimir
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Plastic quasigroups are idempotent medial quasigroups satisfying the identity a.(a.ab)b=b. Our main result is a one-to-one correspondence with G2-quasigroups, studied in an earlier paper. A Toyoda-like representation theorem for plastic quasigroups is proved.
Krčadinac, Vedran, Volenec, Vladimir
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On isomorphisms of quasigroups
Discrete Mathematics and Applications, 2005Summary: We give a solution of the well-known problem of isomorphisms of the quasigroups each of which is principally isotopic to the same quasigroup.
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Algorithms for Checking Some Properties of n-Quasigroups
Programming and computer software, 2022A. V. Galatenko +2 more
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The module theory of semisymmetric quasigroups, totally symmetric quasigroups, and triple systems
Journal of Algebraic Combinatorics, 2022Alex W. Nowak
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Strong Polynomial Completeness of Almost All Quasigroups
Mathematical Notes, 2022A. V. Galatenko +2 more
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Invariant codes, difference schemes, and distributive quasigroups
Computational and Applied Mathematics, 2022A. G. Castoldi +3 more
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