Zur Hyperebenenalgebraisierung in Desarguesschen projektiven Verbandsgeometrien. (On hyperplane algebraization in Desarguesian projective lattice geometries) (Q1180132)

In a manner similar to \textit{A. Day} and \textit{D. Pickering} [Trans. Am. Math. Soc. 278, 507-522 (1983; Zbl 0516.06007)] the author proves a `coordinatization' theorem (``In a Desarguesian projective geometry the subgeometry of every at least one-dimensional hyperplane is module- induced'') in the context of projective lattice geometries as defined by S. E. Schmidt [cf. \textit{S. E. Schmidt} and \textit{M. Greferath}, ``A unified approach to projective lattice geometries'', Preprint (1990)].