Associative rings and algebras Concept
Submodule
Summary
A submodule of a module is a subset that is a subgroup under addition and that is closed under multiplication by the ring elements.
Where this leads
16 pages build on this one.
- Regular local rings are UFDs
- Krull intersection theorem
- Artin–Rees lemma
- Projective cover
- Fractional ideal
- Injective hull
- Linear topology
- Socle of a module
- Filtration of a module
- Krull dimension of a noncommutative ring
- Uniserial module
- Completion is flat
- Invertible ideal
- Radical of a module
- Regular local rings are domains
- Torsion submodule
Further reading
- Web https://en.wikipedia.org/wiki/Module_(mathematics), Submodules and homomorphisms
About this page
| Tag | 05WDSN597C |
|---|---|
| URI | m2://05WDSN597C |
| Kind | concept |
| Writing | W0 stub |
| MSC | 16D10 |
| Specializes | Module over a ring |
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