apparently I didn't cross-post this to sage-devel. Just in case, Dima

On Saturday, 3 May 2014 22:22:22 UTC+2, Dima Pasechnik wrote:
>
> On 2014-05-03, Vincent Delecroix <> wrote: 
> > Hello, 
> > 
> > I would like more projective planes seen as incidence structure. In 
> > order to do so I need to introduce what are called near-field [1]. 
> > Which is not exactly a division ring: the distributivity fail on one 
> > of the side. 
> > 
> > Does anybody has some implementation already? Do you think I need a 
> > proper category for the near fields? It would be fine to me to set the 
> > category to "Rings" but perhaps it is more appropriate to have the 
> > corresponding category. 
>
> Aren't Sage rings meant to have distributivity on both sides? 
> Probably it might be fun (depending on your notion of fun :)) 
> to have a category of structures with a ternary operation, 
> as needed for coordinatizaton of even more general finite 
> projective planes (then one will also have semi-fields, etc) 
>
> HTH, 
> Dima 
>
> > Comments might also go on the ticket #16283. 
> > 
> > Best 
> > Vincent 
> > 
> >   [1] http://en.wikipedia.org/wiki/Near-field_%28mathematics%29 
> > 
>
>

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