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Practice problem

Hom, Tensor and Limits

By Victor Wang

Let V,WV,W be vector spaces over a field KK. When is the natural map V∗⊗KW→Hom⁡K(V,W)V^\ast \otimes_K W \to \operatorname{Hom}_K(V,W) an isomorphism? Give the best answer.

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Type a concept, like “slope” or “photosynthesis”.

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