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On the structure of finite paramedial quasigroups [PDF]
, 2010 Victor Shcherbacov, D. I. Pushkashu
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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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Quasigroups and their applications in cryptography
Cryptologia, 2020Quasigroups have wide applications in coding theory and cryptography. We present a brief survey on quasigroups and discuss their applications in designing various cryptographic primitives including...
Dimpy Chauhan +2 more
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Quasigroups, right quasigroups and category coverings
Algebra Universalis, 1996An interpretation of quasigroup modules as representations of the fundamental groupoid on the Cayley diagram of a quasigroup is constructed. Generalizations to right quasigroups involve the path category of the Cayley diagram.
Fuad, T. S. R., Smith, J. D. H.
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Medially nilpotent distributive quasigroups and CH-quasigroups
Siberian Mathematical Journal, 1987The notion of medial nilpotent quasigroup is introduced. Among other facts, the following claim is proved: If (Q,.) is a distributive quasigroup, or a CH-quasigroup with \(n+2\) free generators, then (Q,.) is a medial nilpotent quasigroup of the class n (Theorem 4).
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Semisymmetrization and Mendelsohn quasigroups
Commentationes Mathematicae Universitatis Carolinae, 2021Let \(Q\) be a quasigroup. Define \(Q^\Delta\) on \(Q^3\) by \((x_1,x_2,x_3)(y_1,y_2,y_3)=(y_3/x_2,y_1\backslash x_3,x_1y_2)\) as in [\textit{J. D. H. Smith}, Algebra Univers. 38, No. 2, 175--184 (1997; Zbl 0906.20046)] and \(Q^\Gamma\) on \(Q^2\) by \((x_1,x_2)(y_1,y_2)=(x_1y_2/x_2,y_1\backslash x_1y_2)\) as in [\textit{A.
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Remarks on quasigroups and $n$-quasigroups
Publicationes Mathematicae Debrecen, 2022Ellis, David, Utz, Roy
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