Hexagonal quasigroups
Vladimír Volenec (1991)
Archivum Mathematicum
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Vladimír Volenec (1991)
Archivum Mathematicum
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Vladimír Volenec, Ružica Kolar-Šuper (2008)
Commentationes Mathematicae Universitatis Carolinae
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The concept of pseudosquare in a general quadratical quasigroup is introduced and connections to some other geometrical concepts are studied. The geometrical presentations of some proved statements are given in the quadratical quasigroup .
Zdenka Kolar-Begović (2011)
Czechoslovak Mathematical Journal
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The theorem about the characterization of a GS-quasigroup by means of a commutative group in which there is an automorphism which satisfies certain conditions, is proved directly.
Vladimír Volenec, Mea Bombardelli (2007)
Archivum Mathematicum
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Hexagonal quasigroup is idempotent, medial and semisymmetric quasigroup. In this article we define and study symmetries about a point, segment and ordered triple of points in hexagonal quasigroups. The main results are the theorems on composition of two and three symmetries.