Difference between revisions of "Perfect field"

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(New page: <noinclude> </noinclude> '''Perfect field''': A field that either has characteristic zero, or has characteristic <math>p</math> and f...)
 
 
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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.
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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