finite extension
Let an extension field
of . We say that is a finite extension
if is finite. That is, is a finite dimensional space over .
An important result on finite extensions establishes that any finite extension is also an algebraic extension.
| Title | finite extension |
| Canonical name | FiniteExtension |
| Date of creation | 2013-03-22 11:56:55 |
| Last modified on | 2013-03-22 11:56:55 |
| Owner | drini (3) |
| Last modified by | drini (3) |
| Numerical id | 9 |
| Author | drini (3) |
| Entry type | Definition |
| Classification | msc 12F05 |
| Synonym | finite field extension |
| Related topic | ExtensionField |
| Related topic | AlgebraicElement |
| Related topic | ExistenceOfTheMinimalPolynomial |
| Related topic | AlgebraicExtension |
| Related topic | ExtensionMathbbRmathbbQIsNotFinite |
| Related topic | AlgebraicSumAndProduct |
| Related topic | FiniteExtensionsOfDedekindDomainsAreDedekind |