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 |
Show full item record
SCOPUSTM
Citations
4
checked on Dec 7, 2024
Page view(s)
22
checked on Dec 7, 2024
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.