mathlib icon indicating copy to clipboard operation
mathlib copied to clipboard

feat(algebra/category/RingModPair): definition of the category of pairs of ring and module

Open jjaassoonn opened this issue 3 years ago • 1 comments

I defined the category of modules following this link. This may or may not be useful to define sheaf of modules.


Open in Gitpod

jjaassoonn avatar Dec 11 '21 17:12 jjaassoonn

I think BundledModule is a confusing name, because Module is already "bundled" relative to module.

Perhaps RingModulePair?

kim-em avatar Feb 27 '22 02:02 kim-em

Is there a general way to formalize grothendieck construction in mathlib now?

It's possible to use category_theory.grothendieck because R ↦ Module R is a strict functor from (Comm)Ring to Cat. (I think it's also possible to define PresheafedSpace using this strict Grothendieck construction) The generalization to oplax functors is in this branch but not yet PR'd.

alreadydone avatar Oct 20 '22 04:10 alreadydone