Algebra 4 – April 10th – Tensor product of modules

Tensor product of modules

Definition of tensor product and basic properties. Show that $2\otimes 1$ is zero in $\mathbb{Z} \otimes \mathbb{Z}_2$ but not in $2 \mathbb{Z} \otimes \mathbb{Z}_2$ .

References: Atiyah-Macdonald chap 2, link.

Tensor product of modules

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