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 '''Perfect field''': A field that either has characteristic zero, or has characteristic <math>p</math> and for which the map <math>x \mapsto x^p</math> is a surjective map. Equivalently, it is a field such that every algebraic extension field for it is separable.   '''Perfect field''': A field that either has characteristic zero, or has characteristic <math>p</math> and for which the map <math>x \mapsto x^p</math> is a surjective map. Equivalently, it is a field such that every algebraic extension field for it is separable. 
   
−  No relevant subject wiki entry.
 +  Primary subject wiki entry: [[Galois:Perfect field]] 
   
 Also located at: [[Mathworld:PerfectField]], [[Planetmath:PerfectField]]   Also located at: [[Mathworld:PerfectField]], [[Planetmath:PerfectField]] 
Latest revision as of 23:25, 14 May 2009
Perfect field: A field that either has characteristic zero, or has characteristic and for which the map is a surjective map. Equivalently, it is a field such that every algebraic extension field for it is separable.
Primary subject wiki entry: Galois:Perfect field
Also located at: Mathworld:PerfectField, Planetmath:PerfectField