# 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., $K_{1}K_{2}\dots K_{n}$) is often used to denote the composite field of two (resp., finitely many) fields.

Title composite field CompositeField 2013-03-22 12:12:09 2013-03-22 12:12:09 djao (24) djao (24) 6 djao (24) Definition msc 12F99 compositum composite extension