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In abstract algebra, a module is indecomposable if it is non-zero and cannot be written as a direct sum of two non-zero submodules.
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indecomposable module modules direct sum every simple called many finitely completely decomposable field finitely-generated abelian algebra indecomposables decomposition weaker semisimple
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Indecomposable module | related to Motivation | In | 0.60 | section |
| Indecomposable module | related to Motivation | This | 0.60 | section |
| Indecomposable module | related to Motivation | PID | 0.60 | section |
| Indecomposable module | related to Motivation | Jordan | 0.60 | section |
| Indecomposable module | related to Principal ideal domain | Finitely-generated | 0.60 | section |
| Indecomposable module | related to Principal ideal domain | PIDs | 0.60 | section |
| Indecomposable module | related to Principal ideal domain | PID | 0.60 | section |
| Indecomposable module | related to Principal ideal domain | Explicitly | 0.60 | section |
| Indecomposable module | related to Principal ideal domain | R/pn | 0.60 | section |
| Indecomposable module | related to Principal ideal domain | Every | 0.60 | section |
| Indecomposable module | related to Principal ideal domain | R-module | 0.60 | section |
| Indecomposable module | related to Principal ideal domain | Note | 0.60 | section |
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