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feat(Algebra/Category/ModuleCat): pullback of presheaves of modules #17366
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…to the-free-presheaf-of-modules-on-a-presheaf-of-sets
…to the-free-presheaf-of-modules-on-a-presheaf-of-sets
…es-on-a-presheaf-of-sets
…es-on-a-presheaf-of-sets
…es-on-a-presheaf-of-sets
…es-on-a-presheaf-of-sets
…sheaf-of-modules-pullback
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This was referenced Oct 6, 2024
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Given a functor `F : D ⥤ C`, we define a functor`F.partialLeftAdjoint : F.PartialLeftAdjointSource ⥤ D` which is defined on a certain full subcategory of `C`. It satisfies similar properties to the left adjoint of `F` (if this existed). We show that the domain of definition of this partial left adjoint is stable under certain colimits. This shall be used in #17366 in order to show the existence of the pullback functor on categories of presheaves of modules.
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…ry of presheaves of modules
…into presheaf-of-modules-pullback
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blocked-by-other-PR
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t-algebra
Algebra (groups, rings, fields, etc)
t-algebraic-geometry
Algebraic geometry
t-category-theory
Category theory
WIP
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In this PR, we construct the pullback functor for presheaves of modules.