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

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