FLEURY'S SPANNING DIMENSION AND CHAIN CONDITIONS ON NON-ESSENTIAL ELEMENTS IN MODULAR LATTICES


Lomp C., ÖZCAN A. Ç.

COLLOQUIUM MATHEMATICUM, cilt.124, ss.133-144, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 124 Konu: 1
  • Basım Tarihi: 2011
  • Doi Numarası: 10.4064/cm124-1-9
  • Dergi Adı: COLLOQUIUM MATHEMATICUM
  • Sayfa Sayıları: ss.133-144

Özet

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.