History of tag 05E0
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assigned tag 05E0
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2010-10-23 |
ae2a311
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Tags: Added new tags
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created statement with label remark-bourbaki in algebra.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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