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Results tagged with ac.commutative-algebra
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user 120796
Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
4
votes
0
answers
204
views
Dimension of a fiber of a local homomorphism
Let $\varphi:(R,m) \to (S,n)$ be a local homomorphism between local noetherian rings.
Recall that the fiber of $\varphi$ is by definition the ring $F(\varphi) = S/mS$.
If $\varphi$ is flat, it is we …
- 201
4
votes
0
answers
83
views
Support of Matlis dual
Let $(A,m)$ be a commutative noetherian local ring,
$E$ the injective hull of $A/m$, and $M$ a finitely generated $A$-module.
What is the connection between the support of $M$ and the support of the …
- 201
2
votes
1
answer
183
views
An example of a local ring which is not CM and a MCM module over it
I am looking for an example of a commutative noetherian local ring $(A,m)$,
and a maximal Cohen-Macaulay module $M$ over $A$ (in particular $M$ is finitely generated over $A$), such that for some $p \ …
- 201