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[Merged by Bors] - feat: add a SpectrumRestricts
structure
#10735
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t-algebra
Algebra (groups, rings, fields etc)
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This was referenced Feb 20, 2024
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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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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`.
Pull request successfully merged into master. Build succeeded: |
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feat: add a
[Merged by Bors] - feat: add a Feb 21, 2024
SpectrumRestricts
structureSpectrumRestricts
structure
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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`.
thorimur
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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`.
riccardobrasca
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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
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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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t-algebra
Algebra (groups, rings, fields etc)
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when
A
is andS
-algebra andR
is a subring ofS
,SpectrumRestricts (a : A) (f : S → R)
means that theS
-spectrum ofa
is entirely contained within the image of theR
-spectrum ofa
underalgebraMap R S
. We includef
because we want to explicitly specify the function that takes us back intoR
fromS
.