Hey Nicolas,
   For the category of non-unital rings, how about Rngs? (I'm half joking.) 
Somewhat more serious, GeneralAlgebras/GeneralRings? I think overall we 
should be consistent between rings and algebras. On the math side of 
things, doesn't a ring in general has to be distributive; if so, then I 
think (distributive) non-* rings should be called *Rings and 
non-distributive things should be MultiplicativeAndAdditiveMagmas (or maybe 
AdditiveAndMultiplicativeMagmas).
   Also do we want/have a category for skew fields (a.k.a. division rings)?

Best,
Travis


On Wednesday, July 3, 2013 3:38:00 PM UTC+2, Nicolas M. Thiery wrote:
>
> On Wed, Jul 03, 2013 at 03:21:34PM +0200, Nicolas M. Thiery wrote: 
> > One of the features introduced by the category patch #10963 is a new 
> > category for algebras that are not necessarily associative nor unital. 
> > This is a call for suggestions and votes for a good name for it. 
>
> On a similar note: this ticket also introduces a category for sets 
> (E,+,*) where (E,+) is an additive magma, (E,*) is a magma, and * 
> distributes over +. In other words a ring with no axiom whatsoever but 
> distributivity. In the current patch, this category is dubbed 
> DistributiveMagmasAndAdditiveMagmas, by lack of creativity ... 
>
> Better suggestions welcome! 
>
> In the longer run, I'll also need a name for the same category, 
> without the distributivity axiom. 
>
> Cheers, 
>                                 Nicolas 
> -- 
> Nicolas M. Thi�ry "Isil" <nth...@users.sf.net <javascript:>> 
> http://Nicolas.Thiery.name/ 
>

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