History of tag 05F2
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changed the proof
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2016-05-05 |
6243da5 |
Fix a typo
Thanks to Alex St\"abler
http://stacks.math.columbia.edu/tag/05AU#comment-1978
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changed the proof
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2013-08-03 |
badd58f |
Spell check: words starting with b, c, B, or C
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changed the label to lemma-relative-weak-assassin-assassin-finite-type
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2011-01-05 |
61c5a62 |
Criterion for purity
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changed the statement
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2011-01-05 |
61c5a62 |
Criterion for purity
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assigned tag 05F2
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2010-10-23 |
ae2a311
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Tags: Added new tags
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created statement with label lemma-relative-weak-assasin-assassin-finite-type in divisors.tex
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2010-10-20 |
7f432aa |
Explain purity
We added the following fun lemma: Suppose R ---> S is a ring map
with R local and M an R-module. Assume that
S/m_RS is Noetherian
M/m_RM is finite over S/m_RS
M is projective as an R-module
Then any prime q of S which is an associated prime of M \otimes
k(p) where p = q \cap R is contained in a prime of S lying over
m_R. This lemma in some sense explains the notion of purity
introduced in Raynaud-Gruson...
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