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Affine Hjelmslev and generalized affine Hjelmslev planes

dc.contributor.advisorLane, N. D.en_US
dc.contributor.authorBaker, Anne Catharineen_US
dc.contributor.departmentMathematicsen_US
dc.date.accessioned2014-06-18T17:03:16Z
dc.date.available2014-06-18T17:03:16Z
dc.date.created2013-08-27en_US
dc.date.issued1974-10en_US
dc.description.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>en_US
dc.description.degreeMaster of Science (MSc)en_US
dc.identifier.otheropendissertations/8050en_US
dc.identifier.other9148en_US
dc.identifier.other4513520en_US
dc.identifier.urihttp://hdl.handle.net/11375/13231
dc.subjectMathematicsen_US
dc.subjectMathematicsen_US
dc.titleAffine Hjelmslev and generalized affine Hjelmslev planesen_US
dc.typethesisen_US

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