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Tensor product of fields

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  1. the theory of fields in abstract algebra lacks a direct product: the direct product of two fields, considered as a ring is never itself a field

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on April 1, 2009
  2. In algebraic number theory, tensor products of fields are (implicitly, often) a basic tool

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on April 1, 2009
  3. a term from mathematics

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on April 1, 2009
  4. On the other hand it is often required to 'join' two fields K and L, either in cases where K and L are given as subfields of a larger field M, or when K and L are both field extensions of a smaller field N (for example a prime field)

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on April 1, 2009
  5. the best available construction on fields with which to discuss all the phenomena arising

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on April 1, 2009
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