Ext,Tor,pd,id
Cor. f.g. proj. module over a Noetherian ring which has a finite proj. dim has a finite proj res. consisting of f.g. projective modules. -- UFD, c.i.
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2010
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November
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- Every module has a maximal submodule.
- E(A/p) is p-primary
- Injective embedding
- UFD, irreducible elt review
- gcd, lcm
- UFD iff every prime of height 1 is principal, ACCP...
- Nagata CM ring
- Direct sum of CM modules may not be CM
- Category of modules revisited
- CM module definition
- CM module & modding out by an ideal (A/I, I ∈ann(M))
- Regular sequence and flat extension
- n-th syzygy of projective resolution being projective
- M^* -> M^***
- Ass(Hom(M,N))=Supp(M)∩Ass(N)
- Transitivity of inverse sheaf revisited, restricti...
- \mathcal{F} \simeq (j_{*}\mathcal{F})|_{X}
- Equivalence of categories (II)
- Ringed spaces (or schemes) being a category
- Bijection between Hom(V,W) and Hom_Speck(t(V),t(W)...
- If W∈t(X), W is a generic point of t(W).
- α map being closed
- α(V) = the set of closed points in t(V)
- Spec-k compatibility of the following morphisms
- Restriction morphism of the second kind
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November
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