Displaying similar documents to “On Goldie absolute direct summands in modular lattices”

Strongly modular lattices with long shadow

Gabriele Nebe (2004)

Journal de Théorie des Nombres de Bordeaux

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This article classifies the strongly modular lattices with longest and second longest possible shadow.

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

Christian Lomp, A. Çiğdem Özcan (2011)

Colloquium Mathematicae

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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.