Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
38(2), 385-398 (1997)

Teilverhältnisse in affinen Räumen über Moduln

Andrea K. Bach

Fachbereich Mathematik, Johannes-Gutenberg-Universität Mainz
Staudingerweg 9, D-55128 Mainz
e-mail: BACH@MAT.Mathematik.Uni-Mainz.DE

Abstract: A generalization of the ratio of points in an affine space over a module and a general fundamental theorem for ratio-preserving mappings between affine spaces over modules is obtained. Also we give a new proof of the general fundamental theorem for affine mappings.

Keywords: ratio, affine space, module, affine mapping, ratio-preserving mapping, fundamental theorem

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