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History of tag 031K

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type time link
changed the proof 2011-12-24 8a291eb
Cleanup section formally smooth ring maps
changed the statement and the proof 2011-05-15 06d9c1e
Short exact sequence of conormal bundles and sheaves of differentials

	These of course would each follow easily from having the theory
	of the cotangent complex setup and working for algebraic spaces.
	But on the other hand, one would still have to split out the
	precise statements separately in order to use them.
assigned tag 031K 2009-08-21 15d48db
Added new tags

	modified:   tags/tags
created statement with label lemma-ses-formally-smooth in algebra.tex 2009-08-15 6ca4cf6
Continuing adding material to algebra.tex:

	Power series ring over a Noetherian ring is Noetherian
	Integral closure commutes with localization
	Completions of Noetherian rings are Noetherian
	Taking modules of differentials commutes with colimits
	Better characterization of formally smooth ring maps
	Short exact sequence of modules differentials associated to
		formally smooth ring map
	Formal smoothness lifts along small deformations
	Bunch of lemmas with goal to characterize separable field
		extensions as formally smooth field extensions
	Cohen rings are formally smooth
	Proof of Cohen structure theorem

	modified:   algebra.tex
	modified:   spaces.tex