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- Tensor_product_of_fields abstract "In abstract algebra, the theory of fields 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).If K and L do not have isomorphic prime fields, or in other words they have different characteristics, they have no possibility of being common subfields of a field M. Correspondingly their tensor product will in that case be the trivial ring (collapse of the construction to nothing of interest).".
- Tensor_product_of_fields wikiPageExternalLink ant.pdf.
- Tensor_product_of_fields wikiPageExternalLink what-does-linearly-disjoint-mean-for-abstract-field-extensions.
- Tensor_product_of_fields wikiPageExternalLink ANT.pdf.
- Tensor_product_of_fields wikiPageID "372240".
- Tensor_product_of_fields wikiPageRevisionID "593806294".
- Tensor_product_of_fields hasPhotoCollection Tensor_product_of_fields.
- Tensor_product_of_fields id "C/c024310".
- Tensor_product_of_fields title "Compositum of field extensions".
- Tensor_product_of_fields subject Category:Field_theory.
- Tensor_product_of_fields comment "In abstract algebra, the theory of fields lacks a direct product: the direct product of two fields, considered as a ring is never itself a field.".
- Tensor_product_of_fields label "Compositum".
- Tensor_product_of_fields label "Lineare Disjunktheit".
- Tensor_product_of_fields label "Produto tensorial de corpos".
- Tensor_product_of_fields label "Tensor product of fields".
- Tensor_product_of_fields sameAs Lineare_Disjunktheit.
- Tensor_product_of_fields sameAs Compositum.
- Tensor_product_of_fields sameAs Produto_tensorial_de_corpos.
- Tensor_product_of_fields sameAs m.020lf3.
- Tensor_product_of_fields sameAs Q340145.
- Tensor_product_of_fields sameAs Q340145.
- Tensor_product_of_fields wasDerivedFrom Tensor_product_of_fields?oldid=593806294.
- Tensor_product_of_fields isPrimaryTopicOf Tensor_product_of_fields.