Authors: Förg-Rob, Wolfgang
Krapež, Aleksandar 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Equations which preserve the height of variables
Journal: Aequationes Mathematicae
Volume: 70
Issue: 1-2
First page: 63
Last page: 76
Issue Date: 1-Jan-2005
ISSN: 0001-9054
DOI: 10.1007/s00010-005-2790-x
Abstract: 
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.
Keywords: Belousov equation | General solution | Height preserving equation | Level equation | Linear equation | Medial quasigroup | Paramedial quasigroup | Quasigroup | Quasigroup functional equation | T-quasigroup
Publisher: Springer Link

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