Displaying similar documents to “GS-quasigroups”

Skewsquares in quadratical quasigroups

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 ℂ ( 1 + i 2 ) .

A short direct characterization of GS-quasigroups

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.

Symmetries in hexagonal quasigroups

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.