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2
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'expressible'
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| Title of object: |
expressible |
| Canonical Name: |
Expressible |
| Type: |
Definition |
| Created on: |
2007-04-14 21:26:19 |
| Modified on: |
2007-04-14 22:25:04 |
| Classification: |
msc:12F10, msc:12F05 |
| Defines: |
inexpressible |
Preamble:
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{psfrag}
\usepackage{graphicx}
\usepackage{amsthm}
\usepackage{xypic}
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Content:
| Let $F$ be a field and $\alpha$ be algebraic over $F$. Then $\alpha$ is \emph{expressible} over $F$ if $F(\alpha)/F$ is a radical extension. On the other hand, $\alpha$ is \emph{inexpressible} over $F$ if $F(\alpha)/F$ is not a radical extension. |
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