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History of tag 00DB

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changed the statement 2016-07-23 71ea836
More standard use of "partial ordering"

Thanks to Wei Xu
http://stacks.math.columbia.edu/tag/00CR#comment-588
and to Keenan Kidwell
http://stacks.math.columbia.edu/tag/00D3#comment-2102
changed the proof 2015-04-08 360e7e1
Revised the material in commits Darij Grinberg

Removed the PBW like lemma in commit
b28cd605026f9194c57022c3b301843e52a66f50
Although we should have lemmas like this in the future, it wasn't
necessary for the proof of lemma-finite-finitely-presented-extension.
Instead we moved this lemma later so we can make use of (very
elementary) theory of finite ring maps, thereby reducing to the one
variable case which should be clear to anyone with an undergraduate
course in modern algebra,

Of course this means we *should* add a discussion of the Grobner
basis algorithm and at that point the lemma will be obvious.
changed the proof 2015-03-31 451130d
algebra.tex: typos and additional details
changed the statement 2014-08-10 d72552a
Slogan by Johan de Jong
http://stacks.math.columbia.edu/tag/00DB#comment-907
changed the proof 2013-12-22 19733a9
LaTeX

Added a new macro

\def\Im{\text{Im}}

and replaced all occurrences of \text{Im} by \Im
changed the proof 2013-12-22 e179438
LaTeX

Introduced a macro

\def\Ker{\text{Ker}}

and replace all occurrences of \text{Ker} with \Ker
changed the statement and the proof 2011-08-10 996a95d
LaTeX: fix colim

	Introduced the macro

	\def\colim{\mathop{\rm colim}\nolimits}

	and changed all the occurences of \text{colim} into \colim.
changed the proof 2010-03-08 0d8b90d
Technical lemmas on exactness of various functors on sheaves

	This is a bit rough here and there.
assigned tag 00DB 2009-05-16 fad2e12
Started tags infrastructure

	new file:   scripts/add_tags.py
	modified:   scripts/functions.py
	new file:   tags/initial_tags
	new file:   tags/tags
created statement with label lemma-directed-colimit-exact in algebra.tex 2009-05-06 12e32e9
List of changes:
	Improved exposition colimits modules in algebra.tex
	Fixed typo on categories.tex
	Proof basic lemma cohomology P^n_R, R Noetherian
	Characterize affines by vanishing cohomology
	Cohmology commutes with directed colimits sometimes
	Typos constructions.tex
	Clarify quasi-affine section
	Ideals directed limit finite type ideals
	Characterize affines in properties.tex
	Closed points exist in quasi-compact spaces

	modified:   algebra.tex
	modified:   categories.tex
	modified:   coherent.tex
	modified:   cohomology.tex
	modified:   constructions.tex
	modified:   limits.tex
	modified:   modules.tex
	modified:   properties.tex
	modified:   topology.tex