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Results tagged with ac.commutative-algebra
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user 2628
Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
6
votes
1
answer
370
views
Checking locally whether a homomorphism is a localization
All rings below are commutative with $1$.
Suppose $A\subset B$ is a subring and that $A\rightarrow A'$ is a faithfully flat ring homomorphism. [You may assume the rings are actually ${\mathbb C}$- …
- 2,083
17
votes
Does every projective A/I-module come from A?
No. Here's an "example" (it's not quite completely explicit, but with a little effort you can make it absolutely explicit). Let $A = {\mathbb C}[x,y]$ and $I = (y^2- x(x+1)(x-1))$. [If you are comf …
- 2,083