Proof: Uniqueness of the Tensor Product @MuPrimeMath

Uploaded April 2023 | Updated September 2026, 2 weeks ago

Universal property introduction: youtu.be/vZzZhdLC_YQ

This video proves the uniqueness of the tensor product of vector spaces (or modules over a commutative ring). This uses the universal property of the tensor product to prove the existence of an isomorphism (linear bijection) between any two "tensor products".

Tensor Products playlist: youtube.com/playlist?list=PLug5ZIRrShJHCtzgzZyRqSdzr8wYlN2qk

0:00 The Universal Property
3:53 Relating Two Tensor Products
8:10 Proving Isomorphism

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