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[Merged by Bors] - feat(algebra/algebra/spectrum): prove spectral inclusion for algebra homomorphisms #12573

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[Merged by Bors] - feat(algebra/algebra/spectrum): prove spectral inclusion for algebra homomorphisms #12573

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j-loreaux
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If φ : A →ₐ[R] B is an R-algebra homomorphism, then for any a : A, spectrum R (φ a) ⊆ spectrum R a.

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@j-loreaux j-loreaux added easy < 20s of review time. See the lifecycle page for guidelines. awaiting-review The author would like community review of the PR awaiting-CI The author would like to see what CI has to say before doing more work. labels Mar 10, 2022
@github-actions github-actions bot removed the awaiting-CI The author would like to see what CI has to say before doing more work. label Mar 10, 2022
@semorrison semorrison added awaiting-author A reviewer has asked the author a question or requested changes and removed easy < 20s of review time. See the lifecycle page for guidelines. awaiting-review The author would like community review of the PR labels Mar 11, 2022
@j-loreaux j-loreaux added awaiting-review The author would like community review of the PR awaiting-CI The author would like to see what CI has to say before doing more work. and removed awaiting-author A reviewer has asked the author a question or requested changes labels Mar 12, 2022
@github-actions github-actions bot removed the awaiting-CI The author would like to see what CI has to say before doing more work. label Mar 12, 2022
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dupuisf commented Mar 13, 2022

Thanks!

bors r+

@github-actions github-actions bot added ready-to-merge All that is left is for bors to build and merge this PR. (Remember you need to say `bors r+`.) and removed awaiting-review The author would like community review of the PR labels Mar 13, 2022
bors bot pushed a commit that referenced this pull request Mar 13, 2022
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feat(algebra/algebra/spectrum): prove spectral inclusion for algebra …
73530b5 
…homomorphisms (#12573)

If `φ : A →ₐ[R] B` is an `R`-algebra homomorphism, then for any `a : A`, `spectrum R (φ a) ⊆ spectrum R a`.
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bors bot commented Mar 13, 2022

Pull request successfully merged into master.

Build succeeded:

@bors bors bot changed the title feat(algebra/algebra/spectrum): prove spectral inclusion for algebra homomorphisms [Merged by Bors] - feat(algebra/algebra/spectrum): prove spectral inclusion for algebra homomorphisms Mar 13, 2022
@bors bors bot closed this Mar 13, 2022
@bors bors bot deleted the j-loreaux/spectrum-inclusion branch March 13, 2022 04:44
laurentbartholdi pushed a commit that referenced this pull request Mar 17, 2022
@j-loreaux @laurentbartholdi
feat(algebra/algebra/spectrum): prove spectral inclusion for algebra …
5eee86f 
…homomorphisms (#12573)

If `φ : A →ₐ[R] B` is an `R`-algebra homomorphism, then for any `a : A`, `spectrum R (φ a) ⊆ spectrum R a`.
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