History of tag 053B
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changed the statement
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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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moved the statement to file more-algebra.tex
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2010-11-26 |
2d16a4e |
Move material into more-algebra.tex
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changed the statement
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2010-08-30 |
f68a756 |
Fix snafus
Also added some more sections to divide up the material a bit
more.
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assigned tag 053B
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2010-08-20 |
f901c60
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Tags: added new tags
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created statement with label lemma-flat-finite-type-finite-presentation-local in algebra.tex
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2010-08-19 |
fd27c95 |
More on flatness
Some results on flatness:
descent of flatness through finite injective maps
descent of flatness through injective integral maps
(flat + finite type) / domain => finite presentation
and more. Read the diff to see exactly what and how...
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