Desargues theorem for Klingenberg projective plane over certain local ring. (English) Zbl 0961.51002

Let \(PK(2,R)\) be the projective Klingenberg plane obtained from the free left module \(M_R\) of rank three over a local ring \(R\).
The author proves that an analogue for the configurational theorem of Desargues valid in the ordinary projective plane \(PG(2,K)\) over a skewfield \(K\), holds in \(PK(2,R)\).


51C05 Ring geometry (Hjelmslev, Barbilian, etc.)
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