On 7 May 2015 at 13:30, Simon King <simon.k...@uni-jena.de> wrote:
> Hi Travis,
>
> On 2015-05-06, Travis Scrimshaw <tsc...@ucdavis.edu> wrote:
>> We would like to hear your thoughts on the matter,
>
> I wouldn't like so much to denote something as "non-bla" (where "bla"
> can be associative, commutative, unital, finite, ...), when "non-bla"
> just means "not necessarily bla".
>
> So, please don't name them "category of non-associative algebras". I'd
> prefer to name them "category of magmatic algebras".
>
> Sure, I once learnt that an "algebra" is not necessarily associative.
> Just think of Lie algebras. On the other hand, I wouldn't go as far as
> saying that our notion of Algebras() should change, because Algebras()
> in Sage has always included "associative unital". Changing that would be
> backwards incompatible.
>
> I'd be fine with having MagmaticAlgebras(), and keeping Algebras() as a
> synonyme of MagmaticAlgebras().Associative().Unital().

I am looking forward to the discussion about "skew fields".   Which
are not fields.  Except perhaps in France (but there zero is positive,
so people clearly cannot be trusted).

John

>
> Best regards,
> Simon
>
>
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