|
|
|
|
![[parent]](http://images.planetmath.org:8080/images/uparrow.png)
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.
|
|
(view preamble | get metadata)
| Also defines: |
inexpressible |
This object's parent.
|
|
Cross-references: radical extension, field
There are 28 references to this entry.
This is version 4 of expressible, born on 2007-04-14, modified 2007-04-14.
Object id is 9192, canonical name is Expressible.
Accessed 2026 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) |
|
|
|
|
|
|
Pending Errata and Addenda
|
|
|
|
|
|
|
|
|
|
|
