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[Merged by Bors] - feat(ring_theory/localization): b is linear independent over R iff l.i. over Frac(R)
#13041
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…f l.i. over `Frac(R)`
Co-authored-by: Junyan Xu <junyanxumath@gmail.com>
If it is not too much work for this PR can you add a |
Sure, if you can wait till after the weekend: have a few other things to finish today :) |
variables {M : Type*} [add_comm_group M] [module R M] [module Rₛ M] [is_scalar_tower R Rₛ M] | ||
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/-- Promote a basis for `M` over `R` to a basis for `M` over the localization `Rₛ` -/ | ||
noncomputable def basis.localization {ι : Type*} (b : basis ι R M) : basis ι Rₛ M := |
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Can you add it to ## Main results
? Thanks!
bors d+
✌️ Vierkantor can now approve this pull request. To approve and merge a pull request, simply reply with |
Build failure was transient, so: bors r+ |
…i. over `Frac(R)` (#13041) Co-authored-by: Junyan Xu <junyanxumath@gmail.com> Co-authored-by: Anne Baanen <Vierkantor@users.noreply.github.com>
Pull request successfully merged into master. Build succeeded: |
Frac(R)
Frac(R)
Co-authored-by: Junyan Xu junyanxumath@gmail.com