Re: Abstract Algebra...

On 8 31 , 9 16 , Kenshin <rurouni_sohj...@xxxxxxxxxxx> wrote:
True or False ?

1. C is algebraically closed in C(x), where x is indeterminate.

2. C(x) is algebraically closed, where x is indeterminate.

3. The field C(x) has no algebraic closure, since C contains already
all algebraic numbers.

4. The algebraically closed field must be of characteristic 0.

5. Every algebraically extension field is a finite extension field.

cf).

Def. F is called an algebraically closed field

if every nonconstant polynomial in F[x] has a zero in F.

Thanks for your help~

Studying math for myself is too hard to me...;(

What the hell... This google group make an error between my computer
and the server. Sorry...

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