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Blog Archive
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2010
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December
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- Definitions for CM, etc
- (A,M) flat then (B,M*B) flat
- Chase(Over a Noetherian ring, direct product of fl...
- M->S^-1M being injective or surjective iff s is M-...
- Extension & Contraction of scalars for modules again
- Localization, universal property for modules
- Irreducible ideal being primary (commutative ring)
- 0->M->M->M->0 ACC,DCC, f.g. module over Noeth is N...
- ann(m), noncommutative
- Injective module redux
- Projectivity of module M and Ext^1(M,N)=0 for all ...
- simple module
- Socle review
- Maximal subset of direct sum
- Matrix ring example
- Submodule definition
- (r)_L, (r)_R, (r)
- If I is a left ideal, so is IS for any subset S
- aM, Im, IM, ann(M), etc. (commutative)
- Localization again (S,T, transitivity, p followed ...
- Saturated mult subset
- Module category revisited (II) (Localization, exte...
- Filtration of modules, support, Ass
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December
(23)
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