On a particular case of the bisymmetric equation for quasigroups (Q397038)
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scientific article; zbMATH DE number 6330515
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a particular case of the bisymmetric equation for quasigroups |
scientific article; zbMATH DE number 6330515 |
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On a particular case of the bisymmetric equation for quasigroups (English)
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14 August 2014
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The quasigroup-solutions of the generalized bisymmetry equation \[ A(B(x,y),C(u,v))=D(E(x,u),F(y,v)) \] have been determined in the papers, referred by the authors, by showing that they are isotopic to a same abelian group. In this paper, the special case \(B = C = D\), \(A = E\) is discussed and it is proved that the solutions additionally have some additivity and commutativity properties.
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functional equation
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quasigroup-solutions
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bisymmetry equation
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0.7653098106384277
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