The Stacks project

Definition 92.3.1. Let $A \to B$ be a ring map. The standard resolution of $B$ over $A$ is the augmentation $\epsilon : P_\bullet \to B$ with terms

\[ P_0 = A[B],\quad P_1 = A[A[B]],\quad \ldots \]

and maps as constructed in Simplicial, Example 14.34.7.

Comments (2)

Comment #11063 by Marco Eibrink on

I do agree with the comment #9543 in that the phrasing of the last line is unfortunate and somewhat vague (of course "above" is correct). I suggest that "as constructed above" is replaced with "as constructed in 14.34" or, a bit more concrete, "as in 14.34.7".

There are also:

  • 4 comment(s) on Section 92.3: The cotangent complex of a ring map

Post a comment

Your email address will not be published. Required fields are marked.

In your comment you can use Markdown and LaTeX style mathematics (enclose it like $\pi$). A preview option is available if you wish to see how it works out (just click on the eye in the toolbar).

Unfortunately JavaScript is disabled in your browser, so the comment preview function will not work.

All contributions are licensed under the GNU Free Documentation License.




In order to prevent bots from posting comments, we would like you to prove that you are human. You can do this by filling in the name of the current tag in the following input field. As a reminder, this is tag 08PM. Beware of the difference between the letter 'O' and the digit '0'.



View Definition 92.3.1 as pdf