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On The Coordinatization Theorem Of J. Von Neumann
Published online by Cambridge University Press: 20 November 2018
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A classical theorem of n-dimensional projective geometry asserts: if Desargues' theorem holds (in particular, if n ≥ 3) then the points of the geometry can be assigned homogeneous coordinates (α1, … , αn+l) with αi not all zero in a suitable division ring (2, p. 104; 3, Theorems 10, 11, ex. 19, p. 204).
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- Copyright © Canadian Mathematical Society 1955
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