Mixing
Question regarding separable extension
$begingroup$
If $K$ is a field extension of $F$ and if $alpha$ $in$ K is not separable over F, show that $alpha^{p^{m}}$ is separable over F for some $mgeq 0$. Where $p=char(F)$.
I have been trying it for hours. Any help is appreciated. Thank you
field-theory finite-fields separable-extension
asked Jan 9 at 9:32
user631697user631697
111
$endgroup$
add a comment |
$begingroup$
If $K$ is a field extension of $F$ and if $alpha$ $in$ K is not separable over F, show that $alpha^{p^{m}}$ is separable over F for some $mgeq 0$. Where $p=char(F)$.
I have been trying it for hours. Any help is appreciated. Thank you
field-theory finite-fields separable-extension
asked Jan 9 at 9:32
user631697user631697
111
$endgroup$
$begingroup$
Any One can solve it guys. I am kind of stuck
$endgroup$
– user631697
Jan 9 at 15:45
add a comment |
$begingroup$
If $K$ is a field extension of $F$ and if $alpha$ $in$ K is not separable over F, show that $alpha^{p^{m}}$ is separable over F for some $mgeq 0$. Where $p=char(F)$.
I have been trying it for hours. Any help is appreciated. Thank you
field-theory finite-fields separable-extension
asked Jan 9 at 9:32
user631697user631697
111
$endgroup$
If $K$ is a field extension of $F$ and if $alpha$ $in$ K is not separable over F, show that $alpha^{p^{m}}$ is separable over F for some $mgeq 0$. Where $p=char(F)$.
I have been trying it for hours. Any help is appreciated. Thank you
field-theory finite-fields separable-extension
field-theory finite-fields separable-extension
asked Jan 9 at 9:32
user631697user631697
111
asked Jan 9 at 9:32
user631697user631697
111
asked Jan 9 at 9:32
user631697user631697
111
asked Jan 9 at 9:32
user631697user631697
111
asked Jan 9 at 9:32
user631697user631697
111
111
$begingroup$
Any One can solve it guys. I am kind of stuck
$endgroup$
– user631697
Jan 9 at 15:45
add a comment |
$begingroup$
Any One can solve it guys. I am kind of stuck
$endgroup$
– user631697
Jan 9 at 15:45
$begingroup$
Any One can solve it guys. I am kind of stuck
$endgroup$
– user631697
Jan 9 at 15:45
$begingroup$
Any One can solve it guys. I am kind of stuck
$endgroup$
– user631697
Jan 9 at 15:45
add a comment |
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$begingroup$
Any One can solve it guys. I am kind of stuck
$endgroup$
– user631697
Jan 9 at 15:45