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

  title={Fleury's spanning dimension and chain conditions on non-essential elements in modular lattices},
  author={Christian Lomp and Ayşe Çiğdem {\"O}zcan},
  journal={Colloquium Mathematicum},
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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