On a functional equation arising from hyperbolic geometry

DOI10.1007/BF02189346zbMath0443.39005MaRDI QIDQ1144217

Walter Benz

Publication date: 1980

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182422

zbMATH Keywords

functional equationmatricesmaximal idealhyperbolic geometryisometriesbijectionsorderedcommutative local ringCayley-Klein modelneighbour elements

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Functional equations for functions with more general domains and/or ranges (39B52) Ideals and multiplicative ideal theory in commutative rings (13A15) Ordered rings, algebras, modules (06F25) Functional equations and inequalities (39B99) Regular local rings (13H05) Ring geometry (Hjelmslev, Barbilian, etc.) (51C05)

Cites Work

• The functional equation of distance preservance in spaces over rings
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