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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
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This is version 4 of subfield, born on 2003-10-15, modified 2006-12-02.
Object id is 5055, canonical name is Subfield.
Accessed 4969 times total.

Classification:
AMS MSC12E99 (Field theory and polynomials :: General field theory :: Miscellaneous)

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