Tensor Product of Fields
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High Quality Content by WIKIPEDIA articles! In mathematics, 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. 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). The tensor product of fields is the best available construction on fields with which to discuss all the phenomena arising. As a ring, it is sometimes a field, and often a direct product of fields; it can, though, contain non-zero nilpotents (see radical of a ring).
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GarantieWeitere Informationen
- Allgemeine Informationen
- GTIN 09786130350086
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- Genre Mathematik
- EAN 9786130350086
- Format Fachbuch
- Titel Tensor Product of Fields
- Herausgeber Betascript Publishing
- Anzahl Seiten 76
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