History of tag 05GS
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assigned tag 05GS
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2010-12-07 |
68b68f1
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Tags: Added new tags
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created statement with label remark-when-does-condition-hold in more-algebra.tex
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2010-11-26 |
2c63db8 |
Rework fp property flat + ft graded rings
If R is a ring and S is a finitely generated graded R-algebra
with S_0 finite over R, then flatness of S over R often implies
that S is finitely presented over R. For example this holds if R
is local, which then implies it holds if there exist finitely
many primes in R such that R maps injectively into the product
of its localizations at these primes...
What is mildly interesting is that this condition on R is
slightly weaker than the requirement that R has finitely many
weakly associated primes. We may return to this when we talk to
pure finite type morephisms.
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