Zulip Chat Archive
Stream: Is there code for X?
Topic: finite and finitely presented algebra
Christian Merten (Mar 11 2025 at 14:14):
Do we have something close to the following?
import Mathlib
instance {R S : Type*} [CommRing R] [CommRing S] [Algebra R S]
[Module.Finite R S] [Algebra.FinitePresentation R S] :
Module.FinitePresentation R S :=
sorry
i.e. a finitely presented algebra that is finite as a module is also finitely presented as a module.
Junyan Xu (Mar 11 2025 at 14:53):
Apparently it's not there; it's stacks#0564 as noted in this answer.
Junyan Xu (Mar 11 2025 at 14:54):
@loogle Algebra.FinitePresentation, Module.FinitePresentation
loogle (Mar 11 2025 at 14:54):
:search: Algebra.instFinitePresentationKaehlerDifferentialOfFinitePresentation
Christian Merten (Mar 11 2025 at 14:55):
Junyan Xu said:
Apparently it's not there; it's stacks#0564 as noted in this answer.
Thanks, I also found that reference and this looks quite doable, so I will follow that.
Last updated: May 02 2025 at 03:31 UTC