Squares in quadratical quasigroups (Q2729638)
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scientific article; zbMATH DE number 1623102
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Squares in quadratical quasigroups |
scientific article; zbMATH DE number 1623102 |
Statements
23 October 2001
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quadratical quasigroups
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quadratical groupoids
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identities
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commutative groups
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Squares in quadratical quasigroups (English)
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A groupoid \(Q\) is quadratical if the identity \(ab\cdot a=ca\cdot bc\) holds. Such a groupoid is a quasigroup which is uniquely described by some commutative group and two of its automorphisms [see \textit{W. A. Dudek}, Quasigroups Relat. Syst. 4, 9-13 (1997; Zbl 0944.20052)]. Some geometrical properties of such quasigroups are studied.
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