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Noncommuting Quasigroup Congruences [PDF]
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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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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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Endomorphically closed quasigroups
Mathematical Notes of the Academy of Sciences of the USSR, 1970We construct examples of an endomorphically closed loop and of an endomorphically closed TS-quasigroup that are not entropic.
Bol'bot, A. D., Golubev, Yu. N.
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