On Thursday, November 9, 2017 at 6:17:41 PM UTC+9, John Cremona wrote:
>
> On 9 November 2017 at 00:50, Kwankyu Lee <ekwa...@gmail.com <javascript:>> 
> wrote: 
> > Hi, 
> > 
> > From a discussion last year, I know that creation of finite fields with 
> > generator names is different from without generator names. But still the 
> > following is counter-intuitive. 
> > 
> > sage: k=GF(4) 
> > sage: K=k.extension(3, name='a') 
> > sage: k.is_subring(K) 
> > False 
> > sage: L=k.extension(3) 
> > sage: k.is_subring(L) 
> > True 
> > 
> > Could this behavior be still justified? 
>
> Not in my view, 
>

An obvious solution is that an embedding of k into K is registered as a 
coercion map before the extension field is returned. I will investigate if 
this is not difficult.


Kwankyu

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