Fleury's spanning dimension and chain conditions on non-essential elements in modular lattices
Christian Lomp ; A. Çiğdem Özcan
Colloquium Mathematicae, Tome 122 (2011), p. 133-144 / Harvested from The Polish Digital Mathematics Library
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Based on a lattice-theoretic 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.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:283833 
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     year = {2011},
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Christian Lomp; A. Çiğdem Özcan. Fleury's spanning dimension and chain conditions on non-essential elements in modular lattices. Colloquium Mathematicae, Tome 122 (2011) pp. 133-144. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm124-1-9/