tensor product of modules (Q3406761)
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operation that pairs a left and a right 𝑅‐module into an abelian group
- tensor product
- module tensor product
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | tensor product of modules |
operation that pairs a left and a right 𝑅‐module into an abelian group |
|
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Tensor product of modules2.svg
751 × 626; 22 KB
751 × 626; 22 KB
commutative diagram expressing the universal property of the tensor product of modules: for every abelian group 𝐺 and every balanced product 𝑓: 𝑀×𝑁→𝐺, there exists a unique 𝑓̃: 𝑀⊗𝑁→𝐺 such that 𝑓̃∘⊗=𝑓 (English)
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Identifiers
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Wikipedia(6 entries)
- dewiki Tensorprodukt von Moduln
- enwiki Tensor product of modules
- frwiki Produit tensoriel de deux modules
- jawiki 加群のテンソル積
- plwiki Iloczyn tensorowy modułów
- ptwiki Produto tensorial de módulos