Zulip Chat Archive
Stream: Is there code for X?
Topic: (continous) linear_maps between `p` and `p.restrict_scalars`
Eric Wieser (Mar 15 2021 at 14:35):
For [is_scalar_tower S R M] [semimodule R M] [semimodule S M] (p : submodule R M)
, do we have any of the following maps between p
and docs#submodule.restrict_scalars?
*↥(p.restrict_scalars S) ≃ₗ[S] ↥p
*↥(p.restrict_scalars S) ≃L[S] ↥p
*↥(p.restrict_scalars S) →ₗ[S] ↥p
*↥(p.restrict_scalars S) →L[S] ↥p
I can get the third one from docs#submodule.of_le I expect, but I'm not sure about the others.
Last updated: Dec 20 2023 at 11:08 UTC