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http://hdl.handle.net/11375/13231
Title: | Affine Hjelmslev and generalized affine Hjelmslev planes |
Authors: | Baker, Anne Catharine |
Advisor: | Lane, N. D. |
Department: | Mathematics |
Keywords: | Mathematics;Mathematics |
Publication Date: | Oct-1974 |
Abstract: | <p>The first chapter provides a discussion of "the" simplest affine Hjelmslev plane with non-trivial neighhour relation. In the second, we consider a geometry constructed over a locI ring and discuss the relationship between the A. H. ring properties and the A. H. plane axioms. In this way we introduce generalized A. H. planes - incidence structures with parallelism satisfying only the axioms induced by the local ring properties. In the remaining chapters, we coordinatize such a structure and give a proof of the Fundamental Theorem.</p> |
URI: | http://hdl.handle.net/11375/13231 |
Identifier: | opendissertations/8050 9148 4513520 |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
File | Size | Format | |
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fulltext.pdf | 66.37 MB | Adobe PDF | View/Open |
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