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type time link
changed the proof 2018-08-03 e383f2a
Improve completion lemmas Noetherian ring case

Thanks to Vignesh
https://stacks.math.columbia.edu/tag/0BNH#comment-3389
https://stacks.math.columbia.edu/tag/0BNH#comment-3390
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
changed the proof 2011-08-14 ca002a3
Whitespace changes
changed the statement and the proof 2009-08-17 946301b
More on comlpetion and towards Nagata rings are universally Japanese

	modified:   algebra.tex
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
assigned tag 00MB 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-completion-flat in algebra.tex 2008-06-10 520cad3
	modified:   algebra.tex