Geodesic
Commutative rings whose certain modules decompose into direct sums of cyclic submodules
Czechoslovak Mathematical Journal, Tome 73 (2023) no. 4, pp. 1099-1117

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We provide some characterizations of rings $R$ for which every (finitely generated) module belonging to a class $\mathcal {C}$ of $R$-modules is a direct sum of cyclic submodules. We focus on the cases, where the class $\mathcal {C}$ is one of the following classes of modules: semiartinian modules, semi-V-modules, V-modules, coperfect modules and locally supplemented modules.
DOI : 10.21136/CMJ.2023.0392-22
Classification : 13C05, 13C13, 16D10, 16D80
Keywords: decomposition of a module; FGC-ring; Köthe ring; semiartinian module; \hbox {(semi-)V-module}; locally supplemented module 
@article{10_21136_CMJ_2023_0392_22,
     author = {Kourki, Farid and Tribak, Rachid},
     title = {Commutative rings whose certain modules decompose into direct sums of cyclic submodules},
     journal = {Czechoslovak Mathematical Journal},
     pages = {1099--1117},
     publisher = {mathdoc},
     volume = {73},
     number = {4},
     year = {2023},
     doi = {10.21136/CMJ.2023.0392-22},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2023.0392-22/}
}
TY  - JOUR
AU  - Kourki, Farid
AU  - Tribak, Rachid
TI  - Commutative rings whose certain modules decompose into direct sums of cyclic submodules
JO  - Czechoslovak Mathematical Journal
PY  - 2023
SP  - 1099
EP  - 1117
VL  - 73
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2023.0392-22/
DO  - 10.21136/CMJ.2023.0392-22
LA  - en
ID  - 10_21136_CMJ_2023_0392_22
ER  - 
%0 Journal Article
%A Kourki, Farid
%A Tribak, Rachid
%T Commutative rings whose certain modules decompose into direct sums of cyclic submodules
%J Czechoslovak Mathematical Journal
%D 2023
%P 1099-1117
%V 73
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2023.0392-22/
%R 10.21136/CMJ.2023.0392-22
%G en
%F 10_21136_CMJ_2023_0392_22
Kourki, Farid; Tribak, Rachid. Commutative rings whose certain modules decompose into direct sums of cyclic submodules. Czechoslovak Mathematical Journal, Tome 73 (2023) no. 4, pp. 1099-1117. doi: 10.21136/CMJ.2023.0392-22

Cité par Sources :