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

Tom 124 / 2011

Christian Lomp, A. Çiğdem Özcan Colloquium Mathematicum 124 (2011), 133-144 MSC: 16P70, 06C05. DOI: 10.4064/cm124-1-9

Streszczenie

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.

Autorzy

  • Christian LompDepartamento de Matemática
    Faculdade de Ciências
    Universidade do Porto, Porto, Portugal
    e-mail
  • A. Çiğdem ÖzcanDepartment of Mathematics
    Hacettepe University
    06800 Beytepe Ankara, Turkey
    e-mail

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