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History of tag 053B

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changed the statement 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.
moved the statement to file more-algebra.tex 2010-11-26 2d16a4e
Move material into more-algebra.tex
changed the statement 2010-08-30 f68a756
Fix snafus

	Also added some more sections to divide up the material a bit
	more.
assigned tag 053B 2010-08-20 f901c60
Tags: added new tags
created statement with label lemma-flat-finite-type-finite-presentation-local in algebra.tex 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...