Re: adding orders?

[Karim Belabas <Karim.Belabas@math.u-bordeaux.fr>]

* Bill Allombert [2018-06-17 20:59]:
> On Wed, Jun 13, 2018 at 02:41:46PM +0100, J E Cremona wrote:
> > Is there a pari or gp function to add two orders in a number field?  Here
> > of course I mean to return the smallest order containing both the summands,
> > not just their sum as Z-modules, so the sum of Z[a] and Z[b] would Z[a,b].
> 
> I do not think this is readily available, though it is probably
> done inside nfmaxord.
> Do you have an algorithm for this task ?

It's mostly available (internally). What would be a suitable name ?
nforderadd ? (not too fond of that one...). Maybe, just nforder(nf, a, {b}) ?
(cf idealhnf(nf, a, {b}).

Cheers,

    K.B.
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Karim Belabas, IMB (UMR 5251)  Tel: (+33) (0)5 40 00 26 17
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