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[Merged by Bors] - feat(ring_theory/matrix_equiv_tensor): matrix n n A ≃ₐ[R] (A ⊗[R] matrix n n R) #3177

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[Merged by Bors] - feat(ring_theory/matrix_equiv_tensor): matrix n n A ≃ₐ[R] (A ⊗[R] matrix n n R) #3177

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semorrison
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When A is an R-algebra, matrices over A are equivalent (as an algebra) to A ⊗[R] matrix n n R.

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Recommendations about the name/location of the main file welcome.

jcommelin
jcommelin reviewed Jun 26, 2020
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I've only looked at the new file so far. That looks good to me.

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@semorrison semorrison added the awaiting-review The author would like community review of the PR label Jun 26, 2020
jcommelin
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Thanks 🎉

bors merge

@github-actions github-actions bot added the ready-to-merge All that is left is for bors to build and merge this PR. (Remember you need to say `bors r+`.) label Jun 26, 2020
@github-actions github-actions bot removed the awaiting-review The author would like community review of the PR label Jun 26, 2020
bors bot pushed a commit that referenced this pull request Jun 26, 2020
@semorrison
feat(ring_theory/matrix_equiv_tensor): matrix n n A ≃ₐ[R] (A ⊗[R] mat…
5b97da6 
…rix n n R) (#3177)

When `A` is an `R`-algebra, matrices over `A` are equivalent (as an algebra) to `A ⊗[R] matrix n n R`.



Co-authored-by: Scott Morrison <scott.morrison@gmail.com>
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bors bot commented Jun 26, 2020

Pull request successfully merged into master.

Build succeeded:

@bors bors bot changed the title feat(ring_theory/matrix_equiv_tensor): matrix n n A ≃ₐ[R] (A ⊗[R] matrix n n R) [Merged by Bors] - feat(ring_theory/matrix_equiv_tensor): matrix n n A ≃ₐ[R] (A ⊗[R] matrix n n R) Jun 26, 2020
@bors bors bot closed this Jun 26, 2020
@bors bors bot deleted the polynomial_tensor branch June 26, 2020 11:01
cipher1024 pushed a commit to cipher1024/mathlib that referenced this pull request Mar 15, 2022
@semorrison @cipher1024
feat(ring_theory/matrix_equiv_tensor): matrix n n A ≃ₐ[R] (A ⊗[R] mat…
5df1e2b 
…rix n n R) (leanprover-community#3177)

When `A` is an `R`-algebra, matrices over `A` are equivalent (as an algebra) to `A ⊗[R] matrix n n R`.



Co-authored-by: Scott Morrison <scott.morrison@gmail.com>
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