6533b81ffe1ef96bd1278490

RESEARCH PRODUCT

Darstellung von Hyperebenen in verallgemeinerten affinen Räumen durch Moduln

Stefan E. SchmidtEdith Kreis

subject

Affine coordinate systemDiscrete mathematicsAffine geometryPure mathematicsMathematics (miscellaneous)Affine representationComplex spaceHyperplaneApplied MathematicsAffine hullAffine groupAffine spaceMathematics

description

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

https://doi.org/10.1007/bf03322287