On stable geometries |
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Authors: | Marcus Greferath Stefan E. Schmidt |
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Affiliation: | (1) Fachbereich Mathematik, Universität-GH-Duisburg, 47048 Duisburg 1, Germany;(2) Fachbereich Mathematik, Universität Mainz, 55099 Mainz, Germany |
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Abstract: | Within the concept of projective lattice geometry we are considering the class of stable geometries which have also been introduced in [14]. The investigation of their basic properties will result in fundamental structure theorems which especially give a lattice-geometric characterization of free left modules of rank 6 over proper right Bezout rings of stable rank 2. This yields a proper generalization of previous results of ours. |
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Keywords: | 51Cxx 16-XX 06C05 05B25 |
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