Let be an extension field of and let .
If there is a nonzero polynomial such that (in ) we say that is algebraic over .
For example, is algebraic over since there is a nonzero polynomial with rational coefficients, namely , such that .
If all elements of are algebraic over , one says that the field extension is algebraic.
|Date of creation||2013-11-05 18:32:06|
|Last modified on||2013-11-05 18:32:06|
|Last modified by||pahio (2872)|