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[Merged by Bors] - feat: add a SpectrumRestricts structure #10735

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when A is and S-algebra and R is a subring of S, SpectrumRestricts (a : A) (f : S → R) means that the S-spectrum of a is entirely contained within the image of the R-spectrum of a under algebraMap R S. We include f because we want to explicitly specify the function that takes us back into R from S.


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@j-loreaux j-loreaux added awaiting-review The author would like community review of the PR t-algebra Algebra (groups, rings, fields etc) labels Feb 19, 2024
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Thanks!

bors d+

Mathlib/Algebra/Algebra/Spectrum.lean Outdated Show resolved Hide resolved
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mathlib-bors bot commented Feb 21, 2024

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

@leanprover-community-mathlib4-bot leanprover-community-mathlib4-bot added delegated and removed awaiting-review The author would like community review of the PR labels Feb 21, 2024
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bors merge

@github-actions github-actions bot added the ready-to-merge This PR has been sent to bors. label Feb 21, 2024
mathlib-bors bot pushed a commit that referenced this pull request Feb 21, 2024
when `A` is and `S`-algebra and `R` is a subring of `S`, `SpectrumRestricts (a : A) (f : S → R)` means that the `S`-spectrum of `a` is entirely contained within the image of the `R`-spectrum of `a` under `algebraMap R S`. We include `f` because we want to explicitly specify the function that takes us back into `R` from `S`.
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Build failed (retrying...):

mathlib-bors bot pushed a commit that referenced this pull request Feb 21, 2024
when `A` is and `S`-algebra and `R` is a subring of `S`, `SpectrumRestricts (a : A) (f : S → R)` means that the `S`-spectrum of `a` is entirely contained within the image of the `R`-spectrum of `a` under `algebraMap R S`. We include `f` because we want to explicitly specify the function that takes us back into `R` from `S`.
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mathlib-bors bot commented Feb 21, 2024

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat: add a SpectrumRestricts structure [Merged by Bors] - feat: add a SpectrumRestricts structure Feb 21, 2024
@mathlib-bors mathlib-bors bot closed this Feb 21, 2024
@mathlib-bors mathlib-bors bot deleted the j-loreaux/SpectrumRestricts branch February 21, 2024 19:28
thorimur pushed a commit that referenced this pull request Feb 24, 2024
when `A` is and `S`-algebra and `R` is a subring of `S`, `SpectrumRestricts (a : A) (f : S → R)` means that the `S`-spectrum of `a` is entirely contained within the image of the `R`-spectrum of `a` under `algebraMap R S`. We include `f` because we want to explicitly specify the function that takes us back into `R` from `S`.
thorimur pushed a commit that referenced this pull request Feb 26, 2024
when `A` is and `S`-algebra and `R` is a subring of `S`, `SpectrumRestricts (a : A) (f : S → R)` means that the `S`-spectrum of `a` is entirely contained within the image of the `R`-spectrum of `a` under `algebraMap R S`. We include `f` because we want to explicitly specify the function that takes us back into `R` from `S`.
riccardobrasca pushed a commit that referenced this pull request Mar 1, 2024
when `A` is and `S`-algebra and `R` is a subring of `S`, `SpectrumRestricts (a : A) (f : S → R)` means that the `S`-spectrum of `a` is entirely contained within the image of the `R`-spectrum of `a` under `algebraMap R S`. We include `f` because we want to explicitly specify the function that takes us back into `R` from `S`.
dagurtomas pushed a commit that referenced this pull request Mar 22, 2024
when `A` is and `S`-algebra and `R` is a subring of `S`, `SpectrumRestricts (a : A) (f : S → R)` means that the `S`-spectrum of `a` is entirely contained within the image of the `R`-spectrum of `a` under `algebraMap R S`. We include `f` because we want to explicitly specify the function that takes us back into `R` from `S`.
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