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composite field
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(Definition)
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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.
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"composite field" is owned by djao.
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(view preamble | get metadata)
| Other names: |
compositum, composite extension |
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Cross-references: contains, field, subfields, collection
There are 12 references to this entry.
This is version 2 of composite field, born on 2002-01-21, modified 2002-04-11.
Object id is 1511, canonical name is CompositeField.
Accessed 6033 times total.
Classification:
| AMS MSC: | 12F99 (Field theory and polynomials :: Field extensions :: Miscellaneous) |
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Pending Errata and Addenda
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