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Results tagged with projective-modules
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user 2083
For questions about projective modules over a ring and projective objects in related categories.
3
votes
1
answer
291
views
Freeness of modules along ring homomorphisms
This question arises from my discussion with a Master student. It concerns with the following situation: let $\phi: R \to S$ be a homomorphism between Noetherian commutative rings. Suppose the $R$-mod …
- 30.6k
1
vote
Accepted
Freeness of modules along ring homomorphisms
Let me answer and accept this in CW so that it will not be bumped periodically as not answered by the software. It was hoped that the case of $\phi$ surjective can be generalized, but as Laurent poin …
61
votes
Accepted
What is the insight of Quillen's proof that all projective modules over a polynomial ring ar...
Here is a summary of what I learned from a nice expository account by Eisenbud (written in French), can be found as number 27 here.1
First, one studies a more general problem: Let $A$ be a Noetherian …
- 30.6k