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[parent] expressible (Definition)

Let $ F$ be a field and $ \alpha$ be algebraic over $ F$. Then $ \alpha$ is expressible over $ F$ if $ F(\alpha)/F$ is a radical extension. On the other hand, $ \alpha$ is inexpressible over $ F$ if $ F(\alpha)/F$ is not a radical extension.



"expressible" is owned by Wkbj79.
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Also defines:  inexpressible

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Cross-references: radical extension, field
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This is version 4 of expressible, born on 2007-04-14, modified 2007-04-14.
Object id is 9192, canonical name is Expressible.
Accessed 795 times total.

Classification:
AMS MSC: 12F10 (Field theory and polynomials :: Field extensions :: Separable extensions, Galois theory)
 12F05 (Field theory and polynomials :: Field extensions :: Algebraic extensions)
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inexpressible by Wkbj79 on 2007-04-14 21:34:01
The reason that I currently have this entry world editable is that I do not seem to recall whether transcendentals are considered as inexpressible or not. I currently have the terms expressible and inexpressible only applying to algebraics.
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