Projective mappings between projective lattice geometries |
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Authors: | Thorsten Pfeiffer Stefan E. Schmidt |
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Affiliation: | (1) Zelterstrasse 6, D-55545 Bad Kreuznach;(2) Fachbereich Mathematik, Johannes Gutenberg-Universität, D-55099 Mainz |
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Abstract: | The concept of projective lattice geometry generalizes the classical synthetic concept of projective geometry, including projective geometry of modules.In this article we introduce and investigate certain structure preserving mappings between projective lattice geometries. Examples of these so-calledprojective mappings are given by isomorphisms and projections; furthermore all linear mappings between modules induce projective mappings between the corresponding projective geometries. |
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Keywords: | 06A15 06C 51A05 51A10 |
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