# expressible

Let $F$ be a field and $\alpha$ be algebraic (http://planetmath.org/AlgebraicElement) 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.

Title expressible Expressible 2013-03-22 16:55:41 2013-03-22 16:55:41 Wkbj79 (1863) Wkbj79 (1863) 7 Wkbj79 (1863) Definition msc 12F05 msc 12F10 inexpressible