Timeline for Tensor product and category theory
Current License: CC BY-SA 2.5
2 events
| when toggle format | what | by | license | comment | |
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| Jul 16, 2010 at 14:49 | comment | added | KConrad | Everyone finds the definition hard the first time. A reason why the tensor product is defined is to base extend a module over one ring to become a module over a second ring, subsuming at the same time two classical operations on polynomials: polynomials in Z[x] can be viewed in Q[x] and can be reduced mod p to be in (Z/p)[x]. Each of these is useful for different irreducibility tests, for instance, and the passage Z[x] --> Q[x] and Z[x] --> (Z/p)[x] are both examples of tensor products. See Section 6 of the first link I made in a comment to Dylan's answer. | |
| Jul 16, 2010 at 8:21 | history | answered | Dedalus | CC BY-SA 2.5 |