History of tag 05IT
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assigned tag 05IT
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2010-12-07 |
68b68f1
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Tags: Added new tags
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changed the statement and the proof
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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.
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created statement with label lemma-explain-why-pure-complete in flat.tex
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2010-12-05 |
3629e54 |
Silly example pure module
Namely a complete module... take this with a grain of salt.
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