Zelterstrasse 6, D-55545 Bad Kreuznach, Germany
Abstract: A famous result, due to Hilbert, states for a projective plane over a division ring $K$ the equivalence of Pappus' theorem and the commutativity of $K$.
In this paper we extend this result to the projective plane over an arbitrary ring.
Keywords: ring-geometry, Pappus' theorem
Classification (MSC91): 06A15, 06C, 51A05, 51A10
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