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[Merged by Bors] - feat(LinearAlgebra/PiTensorProduct): arbitrary tensor product of algebras #9395

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@jjaassoonn jjaassoonn commented Jan 1, 2024

Let $R$ be a commutative ring and $(A_i)$ a bunch of $R$-algebras, then $\bigotimes_{R} A$ is an $R$-algebra as well. In particular, taking $R$ to be $\mathbb{Z}$, we get tensor product of rings


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@jjaassoonn jjaassoonn added the WIP Work in progress label Jan 3, 2024
@jjaassoonn jjaassoonn added awaiting-review The author would like community review of the PR awaiting-CI t-algebra Algebra (groups, rings, fields etc) and removed WIP Work in progress labels Jan 3, 2024
@jjaassoonn jjaassoonn added awaiting-author A reviewer has asked the author a question or requested changes and removed awaiting-review The author would like community review of the PR labels Jan 4, 2024
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If the CI passes, I will merge it @eric-wieser @riccardobrasca

@jjaassoonn jjaassoonn added awaiting-CI auto-merge-after-CI Please do not add manually. Requests for a bot to merge automatically once CI is done. labels Mar 2, 2024
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As this PR is labelled auto-merge-after-CI, we are now sending it to bors:

bors merge

mathlib-bors bot pushed a commit that referenced this pull request Mar 2, 2024
…bras (#9395)

Let $R$ be a commutative ring and $(A_i)$ a bunch of $R$-algebras, then $\bigotimes_{R} A$ is an $R$-algebra as well. In particular, taking $R$ to be $\mathbb{Z}$, we get tensor product of rings



Co-authored-by: Riccardo Brasca <riccardo.brasca@gmail.com>
Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
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mathlib-bors bot commented Mar 2, 2024

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat(LinearAlgebra/PiTensorProduct): arbitrary tensor product of algebras [Merged by Bors] - feat(LinearAlgebra/PiTensorProduct): arbitrary tensor product of algebras Mar 2, 2024
@mathlib-bors mathlib-bors bot closed this Mar 2, 2024
@mathlib-bors mathlib-bors bot deleted the zjj/tensorProductAlgebra branch March 2, 2024 21:36
kbuzzard pushed a commit that referenced this pull request Mar 12, 2024
…bras (#9395)

Let $R$ be a commutative ring and $(A_i)$ a bunch of $R$-algebras, then $\bigotimes_{R} A$ is an $R$-algebra as well. In particular, taking $R$ to be $\mathbb{Z}$, we get tensor product of rings



Co-authored-by: Riccardo Brasca <riccardo.brasca@gmail.com>
Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
dagurtomas pushed a commit that referenced this pull request Mar 22, 2024
…bras (#9395)

Let $R$ be a commutative ring and $(A_i)$ a bunch of $R$-algebras, then $\bigotimes_{R} A$ is an $R$-algebra as well. In particular, taking $R$ to be $\mathbb{Z}$, we get tensor product of rings



Co-authored-by: Riccardo Brasca <riccardo.brasca@gmail.com>
Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
utensil pushed a commit that referenced this pull request Mar 26, 2024
…bras (#9395)

Let $R$ be a commutative ring and $(A_i)$ a bunch of $R$-algebras, then $\bigotimes_{R} A$ is an $R$-algebra as well. In particular, taking $R$ to be $\mathbb{Z}$, we get tensor product of rings



Co-authored-by: Riccardo Brasca <riccardo.brasca@gmail.com>
Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
Louddy pushed a commit that referenced this pull request Apr 15, 2024
…bras (#9395)

Let $R$ be a commutative ring and $(A_i)$ a bunch of $R$-algebras, then $\bigotimes_{R} A$ is an $R$-algebra as well. In particular, taking $R$ to be $\mathbb{Z}$, we get tensor product of rings



Co-authored-by: Riccardo Brasca <riccardo.brasca@gmail.com>
Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
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5 participants