Fleury's spanning dimension and chain conditions on non-essential elements in modular lattices

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2011 Turkey English Publisher:Institute of Mathematics, Polish Academy of SciencesJournal:Colloquium Mathematicum, volume 124, pages 133-144 (issn: 0010-1354, eissn: 1730-6302,

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Authors: ÖZCAN, AYŞE ÇİĞDEM; Lomp, Christian;

doi: 10.4064/cm124-1-9

Fleury's spanning dimension and chain conditions on non-essential elements in modular lattices

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Abstract

Based on a lattice theoretical approach, we give a complete characterization of modules with Fleury’s spanning dimension. An example of a non-Artinian, non-hollow module satisfying this finiteness condition is constructed. Furthermore we introduce and characterize the dual notion of Fleury’s spanning dimension.

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Turkey

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Hacettepe University
Turkey
University of Porto
Portugal

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