On Thu, Oct 14, 2010 at 6:00 PM, D. Monarres <[email protected]> wrote:
> Hello all,
>
> First off I would like to thank you for your work. Sage is a powerful
> tool, but I am running into some trouble doing some things that I
> assumed would be easy.
>
> I would like to construct a cartesian product of two groups (or rings
> or fields) which overload + and * in the natural way. From what I
> gather the cartesian_product function is just a combinatoric type
> where none of the algebraic structure is inherited. Is there an
> obvious way to do this that I am missing? Thank you in advance for any
> help.


I think these have been implemented for groups.
The direct product of permutation groups, for example, is defined here:
http://www.sagemath.org/doc/reference/sage/groups/perm_gps/permgroup.html
I'm not sure how to construct it for rings.

>
> David Monarres
>
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