CSIR NET
Ravi Asked a Question
July 25, 2020 9:04 pmpts 30 pts
  • CSIR NET
  • Mathematical Sciences

Is quadratic extension of a field necessarily seperable?

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  • Shashi ranjan sinha Best Answer
    Consider the polynomial x²-t in F[x], where F is the field of fraction of the polynomial ring over the field Z2 with indeterminate t
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  • Shashi ranjan sinha thankyou
    No, it isn't necessarily separable. Quadratic extensions of a field of characteristic 2 may be inseperable.
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  • Ravi
    What about the field of characteristics?
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  • Shashi ranjan sinha
    Quadratic extensions of a field F of characteristic not equals to 2 is always separable
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  • Shashi ranjan sinha
    in case of doubt, u can still ask me
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