Geodesic
On lattices, modules and groups with many uniform elements
Algebra and discrete mathematics, no. 1 (2004), pp. 75-86.

Voir la notice de l'article provenant de la source Math-Net.Ru

The uniform dimension, also known as Goldie dimension, can be defined and used not only in the class of modules, but also in large classes of lattices and groups. For considering this dimension it is necessary to involve uniform elements. In this paper we are going to discuss properties of lattices with many uniform elements. Further, we examine these properties in the case of lattices of submodules and of subgroups. We also formulate some questions related to the subject of this note.
Keywords: locally uniform lattice, lattice of subgroups, lattice of submodules.
Mots-clés : uniform element 
@article{ADM_2004_1_a5,
     author = {Jan Krempa},
     title = {On lattices, modules and groups with many uniform elements},
     journal = {Algebra and discrete mathematics},
     pages = {75--86},
     publisher = {mathdoc},
     number = {1},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2004_1_a5/}
}
TY  - JOUR
AU  - Jan Krempa
TI  - On lattices, modules and groups with many uniform elements
JO  - Algebra and discrete mathematics
PY  - 2004
SP  - 75
EP  - 86
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ADM_2004_1_a5/
LA  - en
ID  - ADM_2004_1_a5
ER  - 
%0 Journal Article
%A Jan Krempa
%T On lattices, modules and groups with many uniform elements
%J Algebra and discrete mathematics
%D 2004
%P 75-86
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ADM_2004_1_a5/
%G en
%F ADM_2004_1_a5
Jan Krempa. On lattices, modules and groups with many uniform elements. Algebra and discrete mathematics, no. 1 (2004), pp. 75-86. http://geodesic.mathdoc.fr/item/ADM_2004_1_a5/