Fleury's spanning dimension and chain conditions on non-essential elements in modular lattices
Christian Lomp; A. Çiğdem Özcan
Colloquium Mathematicae (2011)
- Volume: 124, Issue: 1, page 133-144
- ISSN: 0010-1354
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topChristian Lomp, and A. Çiğdem Özcan. "Fleury's spanning dimension and chain conditions on non-essential elements in modular lattices." Colloquium Mathematicae 124.1 (2011): 133-144. <http://eudml.org/doc/283833>.
@article{ChristianLomp2011,
abstract = {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.},
author = {Christian Lomp, A. Çiğdem Özcan},
journal = {Colloquium Mathematicae},
keywords = {Fleury spanning dimension; Goldie dimension; dual Goldie dimension; modular lattices; essential elements; small elements; lattices of submodules},
language = {eng},
number = {1},
pages = {133-144},
title = {Fleury's spanning dimension and chain conditions on non-essential elements in modular lattices},
url = {http://eudml.org/doc/283833},
volume = {124},
year = {2011},
}
TY - JOUR
AU - Christian Lomp
AU - A. Çiğdem Özcan
TI - Fleury's spanning dimension and chain conditions on non-essential elements in modular lattices
JO - Colloquium Mathematicae
PY - 2011
VL - 124
IS - 1
SP - 133
EP - 144
AB - 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.
LA - eng
KW - Fleury spanning dimension; Goldie dimension; dual Goldie dimension; modular lattices; essential elements; small elements; lattices of submodules
UR - http://eudml.org/doc/283833
ER -
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