Affine geometry over free unitary modules |
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| Authors: | Werner Leißner Rainer Severin Klaus Wolf |
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| Institution: | (1) Fachbereich 6 der Universität Oldenburg, Ammerländer Heerstr. 67-69, D 2900 Oldenburg;(2) Herbrüggenbusch 48, D 4300 Essen 11;(3) Casparistraße 43, D 5760 Arnsberg 2 |
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| Abstract: | In this paper we consider systems (P,L, , ), where P is an arbitrary non-empty set, L a set of subsets of p and resp. a relation on PxP resp. LxL. In successive stages adding geometrical axioms, we characterize the class of those structures (P,L, ,), which coincides — up to isomorphisms — with the class of all Affine Barbilian-Spaces. |
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