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### Tensor products in Sage

Computing the tensor product of two matrices A, B is quite straightforward through A.tensor_product(B).

What about computing the tensor product of some field extensions $\mathbb{Q}[X][X^2-3]$ and $\mathbb{Q}[\sqrt{3}]$ over $\mathbb{Q}$?

Or perhaps the tensor product of some ring of integers $\mathcal{O}_K$ of a field extension K and $\mathbb{Z}/\mathbb{pZ}$ over \mathbb{Z}.

Or other examples of what can be done in Sage. Not necessarily as constructive, but illustrative enough to aid in studying Tensor products.

### Tensor products in Sage

Computing the tensor product of two matrices A, B is quite straightforward through A.tensor_product(B).

What about computing the tensor product of some field extensions $\mathbb{Q}[X][X^2-3]$ and $\mathbb{Q}[\sqrt{3}]$ over $\mathbb{Q}$?

Or perhaps the tensor product products of some ring of integers $\mathcal{O}_K$ of a field extension K and $\mathbb{Z}/\mathbb{pZ}$ over \mathbb{Z}.$\mathbb{Z}$.

Or other examples Other instances of what can be done tensor product computations in Sage. Not Sage is welcomed, not necessarily as constructive, but illustrative enough to aid in studying Tensor products.

### Tensor products in Sage

Computing the tensor product of two matrices A, B is quite straightforward through A.tensor_product(B).

What about computing the tensor product of some field extensions $\mathbb{Q}[X][X^2-3]$ L and $\mathbb{Q}[\sqrt{3}]$ K over $\mathbb{Q}$?

Or the tensor products of some ring of integers $\mathcal{O}_K$ of a field extension K and $\mathbb{Z}/\mathbb{pZ}$ over $\mathbb{Z}$.

Other instances of tensor product computations in Sage is welcomed, not necessarily as constructive, but illustrative enough to aid in studying Tensor products.

### Tensor products in Sage

Computing the tensor product of two matrices A, B is quite straightforward through A.tensor_product(B).

What about computing the tensor product of some field extensions L and K over $\mathbb{Q}$?

Or the tensor products of some ring of integers $\mathcal{O}_K$ of a field extension K and $\mathbb{Z}/\mathbb{pZ}$ over $\mathbb{Z}$.

Other instances of tensor product computations in Sage is welcomed, not necessarily as constructive, but illustrative enough to aid in studying Tensor products.