The Stacks project

Try to use L/K notation for field extensions

We could also try to consistenly use "field extension" and not just
"extension" and consistently use "ring extension", etc.

Fix typo in more-algebra

Thanks to Yijin Wang
https://stacks.math.columbia.edu/tag/07P0#comment-6541

Tags: Added new tags

Towards results on G-rings

	This material is surprisingly annoying to grok. For example, the
	correct way to proceed is undoubtedly to use Nagata's Jacobian
	criterion to show that rings of finite type over Noetherian
	complete local rings are G-rings. However, there seems to be no
	easy way to actually prove that the criterion applies...

	The algebra question that one gets is the following: Suppose
	that P is a prime ideal of height c in a ring of the form

		k[[x_1, ..., x_n]][y_1, ..., y_m]

	where k is either a field or a Cohen ring. Then we need to prove
	there are derivations D_1, ..., D_c of this ring such that the
	matrix

		D_i(f_j) mod P

	has rank c for some f_1, ..., f_c in P. Let me know if there is
	a simple proof of this result (currently I am not even 100% sure
	it is true).