Countably thick modules
Archivum mathematicum, Tome 41 (2005) no. 4, pp. 349-358
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
The purpose of this paper is to further the study of countably thick modules via weak injectivity. Among others, for some classes ${\mathcal M}$ of modules in $ \sigma [M]$ we study when direct sums of modules from ${\mathcal M}$ satisfies a property $\mathbb P$ in $\sigma [M]$. In particular, we get characterization of locally countably thick modules, a generalization of locally q.f.d. modules.
Classification :
16D50, 16D60, 16D70, 16D90
Keywords: tight; weakly tight; weakly injective; countably thick; locally q.f.d.; weakly semisimple
Keywords: tight; weakly tight; weakly injective; countably thick; locally q.f.d.; weakly semisimple
@article{ARM_2005__41_4_a0,
author = {Abdel-Mohsen, Ali and Saleh, Mohammad},
title = {Countably thick modules},
journal = {Archivum mathematicum},
pages = {349--358},
publisher = {mathdoc},
volume = {41},
number = {4},
year = {2005},
mrnumber = {2195489},
zbl = {1114.16003},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_2005__41_4_a0/}
}
Abdel-Mohsen, Ali; Saleh, Mohammad. Countably thick modules. Archivum mathematicum, Tome 41 (2005) no. 4, pp. 349-358. http://geodesic.mathdoc.fr/item/ARM_2005__41_4_a0/