Waldek Hebisch <[EMAIL PROTECTED]> writes:

> 2) I think we have all tools to do actual computations: we can factorise
>    in algebraic extensions, so we can verify irreducibility assumptions.
>    We have functions to compute primitive elements.

I was unable to use the latter.  Do you think you could compute the example I
gave with FriCAS?

> 3) Currently constructors can not be overloaded, 

Yes, that's unfortunate, in my opinion...

>    so any extra argument to SAE would be mandatory.  One could try something
>    like:
> 
>    SimpleAlgebraicExtension(R:CommutativeRing, _
>      UP:UnivariatePolynomialCategory R, M: Union(UP, List UP)) == ...
> 
>    but that would complicate SAE.  

Yes, that's the way I would do it.  But I think that code is missing.

> 4) Another possibilty would be to add type-valued function in the
>    interpreter.  This may be simple (again modulo bugs/limitations).

I think that this would be very nice and desirable (also for the species
project), but I do not see what it has to do with the problem at hand.  Never
mind, (2) is much more important...

Martin


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