[Merged by Bors] - feat(Algebra/Azumaya/Defs): Define Azumaya algebras

[Whysoserioushah]

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[github-actions]

PR summary e86bdd33b0

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference
Mathlib.Algebra.Azumaya.Defs (new file)	1051

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Declarations diff

+ AlgHom.mulLeftRight
+ AlgHom.mulLeftRight_apply
+ IsAzumaya
+ instModuleTensorProductMop

You can run this locally as follows

## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>

## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>

The doc-module for script/declarations_diff.sh contains some details about this script.

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No changes to technical debt.

You can run this locally as

./scripts/technical-debt-metrics.sh pr_summary

• The relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
• The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

[jcommelin]

bors d+

[mathlib-bors]

✌️ Whysoserioushah can now approve this pull request. To approve and merge a pull request, simply reply with bors r+. More detailed instructions are available here.

[Whysoserioushah]

If everyone's okay with this I'll merge it then?

[Whysoserioushah]

bors r+

[mathlib-bors]

Pull request successfully merged into master.

Build succeeded:

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