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 above.

Comments (1)

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

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View Definition 92.3.1 as pdf