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[Merged by Bors] - feat(linear_algebra/trace): trace of projection maps #14165

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@antoinelab01 antoinelab01 commented May 15, 2022

This is proved under the field assumption instead of the finite free module assumptions generally used to talk about the trace because we need the submodules p and f.ker to also be free and finite.


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@antoinelab01 antoinelab01 added awaiting-review The author would like community review of the PR blocked-by-other-PR This PR depends on another PR which is still in the queue. A bot manages this label via PR comment. labels May 15, 2022
@riccardobrasca riccardobrasca self-assigned this May 18, 2022
@mathlib-dependent-issues-bot mathlib-dependent-issues-bot removed the blocked-by-other-PR This PR depends on another PR which is still in the queue. A bot manages this label via PR comment. label May 20, 2022
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Can you add the same statement for a general ring, assuming the relevant modules are free? (Then this one, that we still want, can be proved as a special case). Thanks!

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Thanks!

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bors bot commented May 20, 2022

✌️ antoinelab01 can now approve this pull request. To approve and merge a pull request, simply reply with bors r+. More detailed instructions are available here.

@github-actions github-actions bot added delegated The PR author may merge after reviewing final suggestions. and removed awaiting-review The author would like community review of the PR labels May 20, 2022
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bors r+

bors bot pushed a commit that referenced this pull request May 20, 2022
This is proved under the `field` assumption instead of the finite free module assumptions generally used to talk about the trace because we need the submodules `p` and `f.ker` to also be free and finite.

- [x] depends on: #13872 


Co-authored-by: antoinelab01 <66086247+antoinelab01@users.noreply.github.com>
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bors bot commented May 20, 2022

Pull request successfully merged into master.

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@bors bors bot changed the title feat(linear_algebra/trace): trace of projection maps [Merged by Bors] - feat(linear_algebra/trace): trace of projection maps May 20, 2022
@bors bors bot closed this May 20, 2022
@bors bors bot deleted the trace_proj branch May 20, 2022 18:25
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