History of tag 05IU
Go back to the tag's page.
| type |
time |
link |
|
assigned tag 05IU
|
2010-12-07 |
68b68f1
|
Tags: Added new tags
|
|
created statement with label lemma-explain-why-pure-direct-sum-finite-modules in flat.tex
|
2010-12-07 |
0b19c63 |
More examples of pure modules
In particular it turns out that if we have R ---> S and N an
S-module which is countably generated and Mittag-Leffler as an
R-module, then it is pure relative to S/R. This finally puts a
direct link between purity and the Mittag-Leffler condition
which I was looking for.
Note that there is an example that shows that one cannot go the
other way. Namely, there exist pure modules over S/R (even when
everything of finite type and Noetherian) which are not
Mittag-Leffler.
|