Re: simple extension.....;

From: mina_world (mina_world_at_hanmail.net)
Date: 09/22/04 

Date: Wed, 22 Sep 2004 23:25:57 +0900

"mina_world" <mina_world@hanmail.net> wrote in message
news:ciphmr$ovv$1@news.hananet.net...
> hello...doctor~
>
> this is a problem of Fraleigh book.
>
> A field E is a simple extension of a subfield F
>
> <=> there exists some @ in E such that
> no proper subfield of E contains @.
>
> --------------------------------------------------
> um....i think......
>
> <= it's true
>
> but, => it's false.
> because,
> R(i) is simple extension of R, but i in Q(i) in R(i)
>
> my think is right ??
>
> thank you very much for your advice.
>

um....is this problem inaccurate ?

i prepare more exact problem.

Correct the definition of the italicized term
without reference to the text.
if correctioin is needed, so that it is in a form
acceptable for publication.

A field E is a simple extension of a subfield F
if and only if there exists some @ in E such that
no proper subfield of E contains @.
(italicized term = simple extension)

this is the exact problem.

thank you very much for your advice.

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  • Re: simple extension.....;
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