Composite field (mathematics)
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A composite field is an object of study in field theory. Let L be a field, and let F, K be subfields of L. Then the (internal) composite of F and K is defined to be the intersection of all subfields of L containing both F and K. The composite is commonly denoted FK. When F and K are not regarded as subfields of a common field then the (external) composite is defined using the tensor product of fields.
References
- Roman, Steven (1995). Field Theory. New York: Springer-Verlag. ISBN 0-387-94407-9., especially chapter 2
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