composite field

Let $\{K_{\alpha }\}$, $\alpha \in J$, be a collection of subfields of a field $L$. The composite field of the collection is the smallest subfield of $L$ that contains all the fields $K_{\alpha }$.

The notation $K_1{K}_2$ (resp., $K_1{K}_2\mathrm{\dots }{K}_n$) is often used to denote the composite field of two (resp., finitely many) fields.

Title	composite field
Canonical name	CompositeField
Date of creation	2013-03-22 12:12:09
Last modified on	2013-03-22 12:12:09
Owner	djao (24)
Last modified by	djao (24)
Numerical id	6
Author	djao (24)
Entry type	Definition
Classification	msc 12F99
Synonym	compositum
Synonym	composite extension