"Nicolas M. Thiery" <nicolas.thi...@u-psud.fr> writes:

> Let me dream a bit. I very much like the idea of Factored(Ring), where
> elements are kept in factored form as long as possible, as is done in
> FriCas (thanks Martin for the pointer). I would like to have several
> variants to choose from:
> 
>  - PartiallyFactored(Ring)
>    The factors are not guaranteed to be relatively prime
>  - RelativelyPrimeFactored(Ring)
>    The factors are guaranteed to be relatively prime, but not necessarily
>    prime themselves
>  - FullyFactored(Ring)
>    The factors are all guaranteed to be prime

actually, this would be my dream, too!  (I think I proposed something
like this on fricas-devel already, but I don't remember well.)

But perhaps you should make sure that your Ring is a UFD -- it won't
make much sense otherwise, would it?


Martin


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