Koordinatisierung von verallgemeinerten affinen Räumen

Darstellung von Hyperebenen in verallgemeinerten affinen Räumen durch Moduln

The starting point of this article is a generalized concept of affine space which includes all affine spaces over unitary modules. Our main result is a representation theorem for hyperplanes of affine spaces: Every hyperplane which satisfies a weak richness condition is induced by a module. 1