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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. |
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| | Primary subject wiki entry: [[Galois:Perfect field]] |
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| 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