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[Merged by Bors] - feat: differentials as an object in ModuleCat #14030
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PR summary 22a9b26562Import changesNo significant changes to the import graph
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Thanks @erdOne for the reviews. I could not make certain definitions global instances (because it would break other parts on mathlib), but by declaring them as a local instance in the main file, it works fine. |
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Thanks!
maintainer merge
🚀 Pull request has been placed on the maintainer queue by erdOne. |
Thanks! bors merge |
In this PR, given a morphism `f : A ⟶ B` in the category `CommRingCat`, and `M : ModuleCat B`, we define the type `M.Derivation f` of derivations with values in `M` relative to `f`. We also construct the module of differentials `CommRingCat.KaehlerDifferential f : ModuleCat B` and the corresponding derivation. (These are basically "bundled" versions of the unbundled constructions already in mathlib.) Co-authored-by: Joël Riou <[email protected]>
Pull request successfully merged into master. Build succeeded: |
In this PR, given a morphism `f : A ⟶ B` in the category `CommRingCat`, and `M : ModuleCat B`, we define the type `M.Derivation f` of derivations with values in `M` relative to `f`. We also construct the module of differentials `CommRingCat.KaehlerDifferential f : ModuleCat B` and the corresponding derivation. (These are basically "bundled" versions of the unbundled constructions already in mathlib.) Co-authored-by: Joël Riou <[email protected]>
In this PR, given a morphism `f : A ⟶ B` in the category `CommRingCat`, and `M : ModuleCat B`, we define the type `M.Derivation f` of derivations with values in `M` relative to `f`. We also construct the module of differentials `CommRingCat.KaehlerDifferential f : ModuleCat B` and the corresponding derivation. (These are basically "bundled" versions of the unbundled constructions already in mathlib.) Co-authored-by: Joël Riou <[email protected]>
In this PR, given a morphism
f : A ⟶ B
in the categoryCommRingCat
, andM : ModuleCat B
, we define the typeM.Derivation f
of derivations with values inM
relative tof
. We also construct the module of differentialsCommRingCat.KaehlerDifferential f : ModuleCat B
and the corresponding derivation. (These are basically "bundled" versions of the unbundled constructions already in mathlib.)This is extended to presheaves of modules in #14014.