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History of tag 05GH

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changed the statement 2018-01-31 0d6c948
Completion with respect to I

Thanks to Kestutis Cesnavicius
https://stacks.math.columbia.edu/tag/00MA#comment-2979
assigned tag 05GH 2010-12-07 68b68f1
Tags: Added new tags
assigned tag 05GH 2010-12-05 4b9001c
Noetherian completions

	If R is complete wrt I and R/I is Noetherian and I is finitely
	generated, then R is Noetherian.
changed the statement and the proof 2010-12-05 4b9001c
Noetherian completions

	If R is complete wrt I and R/I is Noetherian and I is finitely
	generated, then R is Noetherian.
assigned tag 05GH 2009-08-21 15d48db
Added new tags

	modified:   tags/tags
changed the statement and the proof 2009-08-17 54b3586
More stuff in algebra.tex:

	Integral closure is transitive
	Surjectivity of completion of surjective maps?
	Definition of I-adically complete modules
	Criterion as to when completion is complete
	Completion complete in Noetherian case
	Finiteness criterion (still not done)
	Residue field extension of map dvrs bounded
	Complete local ring with finitely generated maximal ideal is
		Noetherian
	Lemmas on Japanese property
	Starting to prove Tate's theorem on Japaneseness of complete
		rings

	modified:   algebra.tex
created statement with label lemma-completion-Noetherian 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