Hello,

maybe an upstream feature request could help, too 
at
http://www.singular.uni-kl.de:8002/trac/report/1?sort=ticket&asc=0&page=1

Jack

Am Montag, 23. Januar 2012 10:32:57 UTC+1 schrieb syd.la...@gmail.com:
>
> In current version of sage you can not have a singular object for k(a) 
> [x] when k is a non-prime finite field and a is transcendental. This 
> is because singular does not support defining such rings explicitly, 
> while if k was prime we had no problem. 
>
> I don't know what the developers of singular were thinking, but 
> probably the fundamental solution is to change the singular code. But 
> meanwhile, one can define 
> prime_field(k)(a)[t,x] 
> and then quotient it with p(t) with minimal polynomial of the field 
> extension. 
>
> This helps the user to use lots of functions, as elementary as lcm, 
> which are depending on Singular. 
>
> I have written the code, if everybody is happy with this short-cut 
> solution, I can go ahead an put the code on the trac 
>
> Cheers, 
> Syd

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