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In abstract algebra, a module M over a ring R is called torsionless if it can be embedded into some direct product RI. Equivalently, M is torsionless if each non-zero element of M has non-zero image under some R-linear functional f:
Products, Properties and examples & Relation with semihereditary rings
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torsionless module flat left right reflexive ring domain modules finitely generated ideals r-modules direct dual rings also torsion-free submodules called
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Torsionless module | related to Properties and examples | If | 0.60 | section |
| Torsionless module | related to Properties and examples | For | 0.60 | section |
| Torsionless module | related to Relation with semihereditary rings | Stephen Chase | 0.60 | section |
| Torsionless module | related to Relation with semihereditary rings | For | 0.60 | section |
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