Fleury's spanning dimension and chain conditions on non-essential elements in modular lattices
Volume 124 / 2011
Colloquium Mathematicum 124 (2011), 133-144
MSC: 16P70, 06C05.
DOI: 10.4064/cm124-1-9
Abstract
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.
