History of tag 07NX
Go back to the tag's page.
| type |
time |
link |
|
changed the proof
|
2019-04-06 |
7227972 |
Fix typo: if and only ---> if and only if
|
|
assigned tag 07NX
|
2012-04-27 |
0cd691b
|
Tags: Added new tags
|
|
created statement with label lemma-completion-CM in more-algebra.tex
|
2012-04-18 |
fc1ffad |
Towards results on G-rings
This material is surprisingly annoying to grok. For example, the
correct way to proceed is undoubtedly to use Nagata's Jacobian
criterion to show that rings of finite type over Noetherian
complete local rings are G-rings. However, there seems to be no
easy way to actually prove that the criterion applies...
The algebra question that one gets is the following: Suppose
that P is a prime ideal of height c in a ring of the form
k[[x_1, ..., x_n]][y_1, ..., y_m]
where k is either a field or a Cohen ring. Then we need to prove
there are derivations D_1, ..., D_c of this ring such that the
matrix
D_i(f_j) mod P
has rank c for some f_1, ..., f_c in P. Let me know if there is
a simple proof of this result (currently I am not even 100% sure
it is true).
|