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

Lomp, Christian; ÖZCAN, AYŞE

doi:10.4064/cm124-1-9

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

Lomp C., ÖZCAN A. Ç.

COLLOQUIUM MATHEMATICUM, cilt.124, sa.1, ss.133-144, 2011 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 124 Sayı: 1
Basım Tarihi: 2011
Doi Numarası: 10.4064/cm124-1-9
Dergi Adı: COLLOQUIUM MATHEMATICUM
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.133-144
Hacettepe Üniversitesi Adresli: Evet

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.