6533b86cfe1ef96bd12c81de

RESEARCH PRODUCT

Non-Desarguian geometries and the foundations of geometry from David Hilbert to Ruth Moufang

Cinzia Cerroni

subject

Mathematics(all)HistoryOswald VeblenRuth MoufangGeneral MathematicsAlternative ringQuasifieldAlgebraic geometryForest Ray MoultonJoseph H.M. WedderburnDavid HilbertAlgebraNon-Desarguesian geometryDevelopment (differential geometry)Foundations of geometryGeometric modelingMax DehnSynthetic geometryMathematics

description

Abstract In this work, we study the development of non-Desarguian geometry from David Hilbert to Ruth Moufang. We will see that a geometric model became a complicated interrelation between algebra and geometry.

10.1016/s0315-0860(03)00049-1http://dx.doi.org/10.1016/S0315-0860(03)00049-1