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

• Autorzy: Christian Lomp , A. Çiğdem Özcan
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 16P70: Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence
• 06C05: Modular lattices, Desarguesian lattices

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2011
• Tom: 124
• Numer: 1
• Strony: 133-144

Daty

wydano

2011

Twórcy

autor

Christian Lomp

• Departamento de Matemática, Faculdade de Ciências, Universidade do Porto, Porto, Portugal

autor

A. Çiğdem Özcan

• Department of Mathematics, Hacettepe University, 06800 Beytepe Ankara, Turkey

Identyfikatory

DOI

10.4064/cm124-1-9