Geodesic
Fleury's spanning dimension and chain conditions on non-essential elements in modular lattices
Christian Lomp1 ; A. Çiğdem Özcan2
1 Departamento de Matemática Faculdade de Ciências Universidade do Porto, Porto, Portugal
2 Department of Mathematics Hacettepe University 06800 Beytepe Ankara, Turkey
Colloquium Mathematicum, Tome 124 (2011) no. 1, pp. 133-144 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm124-1-9
Keywords: based lattice theoretic approach complete characterization modules fleurys spanning dimension example non artinian non hollow module satisfying finiteness condition constructed furthermore introduce characterize dual notion fleurys spanning dimension

Christian Lomp 1 ; A. Çiğdem Özcan 2

1 Departamento de Matemática Faculdade de Ciências Universidade do Porto, Porto, Portugal
2 Department of Mathematics Hacettepe University 06800 Beytepe Ankara, Turkey 
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Christian Lomp; A. Çiğdem Özcan. Fleury's spanning dimension and chain conditions on non-essential elements in modular lattices. Colloquium Mathematicum, Tome 124 (2011) no. 1, pp. 133-144. doi: 10.4064/cm124-1-9

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