The Stacks project

Remark 23.6.4. We can also adjoin a set (possibly infinite) of exterior or divided power generators in a given degree $d > 0$, rather than just one as in Examples 23.6.2 and 23.6.3. Namely, following Remark 23.5.2: for $(A,\gamma )$ as above and a set $J$, let $A\langle T_ j:j\in J\rangle $ be the directed colimit of the algebras $A\langle T_ j:j\in S\rangle $ over all finite subsets $S$ of $J$. It is immediate that this algebra has a unique divided power structure, compatible with the given structure on $A$ and on each generator $T_ j$.

Comments (0)

There are also:

  • 2 comment(s) on Section 23.6: Tate resolutions

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Your email address will not be published.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 0F4I. Beware of the difference between the letter 'O' and the digit '0'.