The Stacks project

Minor corrections on algebra matters.

algebra.tex:355: The "this" in the "Informally this means..." paragraph
refers to the notion of "finitely presented", and so belongs inside part (2) of the
definition, rather than after it. (Otherwise it should be more explicit
about what it means by "this".)

algebra.tex:718: I have never seen transitive relations referred to as
"associative", so I take this for a typo.

algebra.tex:1863: There are various R-modules around, so I figured a bit more
explicitness wouldn't hurt.

algebra.tex:2021: It is certainly not the only iso $f : S^{-1}R \otimes_R M
\to S^{-1}M$.

algebra.tex:8067: The "(faithfully)" alternatives were added to the second
sentence to help prove the first sentence. It wouldn't hurt splitting the
lemma in two, though, as it now makes four different claims.

more-algebra.tex:4556: Fixed to the best of my knowledge. I am not 100% sure
of this since I don't know your notations.

Get rid of \begin{align}

Any equation which is numbered should have a label and this should only
happen for equation environments

Switch order lemmas to avoid forward reference

Whitespace changes

LaTeX: Hom and SheafHom

	Introduced the macros

	\def\Hom{\mathop{\rm Hom}\nolimits}
	\def\SheafHom{\mathop{\mathcal{H}\!{\it om}}\nolimits}

	and replaced all the occurences of \text{Hom} and \textit{Hom}
	with these.

Cleanup

	Mostly code changes. But also some work is done to remove
	duplicated results and to get the order of lemmas etc correct.

	Still have to move lemma-Mittag-Leffler to the correct spot.

Code changes only

	Changes to algebra,tex which have no effect on the produced pdf
	files.

Started tags infrastructure

	new file:   scripts/add_tags.py
	modified:   scripts/functions.py
	new file:   tags/initial_tags
	new file:   tags/tags

More neurotic changes

More neurotic changes

Added stuff on Proj of a graded ring

	modified:   algebra.tex
	modified:   constructions.tex
	modified:   modules.tex
	modified:   properties.tex
	modified:   schemes.tex

Added section on tensor product by Fraser Hiu

	modified:   CONTRIBUTORS
	modified:   algebra.tex