An extension field of is an algebraic closure of if is algebraically closed and every element of is algebraic over . Using the axiom of choice, one can show that any field has an algebraic closure. Moreover, any two algebraic closures of a field are isomorphic as fields, but not necessarily canonically isomorphic.
|Date of creation||2013-03-22 12:12:06|
|Last modified on||2013-03-22 12:12:06|
|Last modified by||djao (24)|