Article
| Title: | Commutative rings whose certain modules decompose into direct sums of cyclic submodules (English) |
| Author: | Kourki, Farid |
| Author: | Tribak, Rachid |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 73 |
| Issue: | 4 |
| Year: | 2023 |
| Pages: | 1099-1117 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | 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. (English) |
| Keyword: | decomposition of a module |
| Keyword: | FGC-ring |
| Keyword: | Köthe ring |
| Keyword: | semiartinian module |
| Keyword: | \hbox {(semi-)V-module} |
| Keyword: | locally supplemented module |
| MSC: | 13C05 |
| MSC: | 13C13 |
| MSC: | 16D10 |
| MSC: | 16D80 |
| DOI: | 10.21136/CMJ.2023.0392-22 |
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| Date available: | 2023-11-23T12:22:25Z |
| Last updated: | 2023-11-27 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/151949 |
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