Equations which preserve the height of variables

• Autores: W. Förg-Rob, Aleksandar Krapez
• Localización: Aequationes mathematicae, ISSN 0001-9054, Vol. 70, Nº. 1-2, 2005, págs. 63-76
• Idioma: inglés
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• Resumen

  • We define a special class of linear quasigroup functional equations and call them height preserving equations (short for the equations which preserve the height of variables). It is proved that a quasigroup satisfying a height preserving but not Belousov equation is isotopic to an abelian group. The formulas of a general solution are also given. Some results of Belousov are discussed and partially generalized.