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# 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.

Synonym:

compositum, composite extension

Type of Math Object:

Definition

Major Section:

Reference

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## Mathematics Subject Classification

12F99*no label found*

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