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subfield (Definition)

Let $ F$ be a field and $ S$ a subset of $ F$ such that $ S$ with the inherited operations from $ F$ is also a field. Then we say that $ S$ is a subfield of $ F$.

The name “subfield” is used also in the case that $ F$ is only a skew field and its subset $ S$ forms a skew field.



"subfield" is owned by drini. [ full author list (4) | owner history (2) ]
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subfield criterion (Theorem) by pahio
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Cross-references: skew field, operations, subset, field
There are 53 references to this entry.

This is version 4 of subfield, born on 2003-10-15, modified 2006-12-02.
Object id is 5055, canonical name is Subfield.
Accessed 3605 times total.

Classification:
AMS MSC: 12E99 (Field theory and polynomials :: General field theory :: Miscellaneous)
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