On #15635 <http://trac.sagemath.org/ticket/15635>, we are trying to decide 
whether we want non-associative algebras to be included in the catalog of 
algebras.

The argument against including them is "most" people think of algebras as 
being associative (and maybe even unital), and as such, might surprise 
people when they come across the non-associativity in their computations.

However, the community was at one point considering renaming magmatic 
algebras into algebras and having to specify the associative axiom 
explicitly. There is also a counterpoint to the argument for not including 
non-associative algebras in the catalog in that the naming is clear, it 
gives a uniform entry point and easily discoverable, and usually when 
someone doesn't know what a particular object is, they look at the 
documentation.

We would like to hear your thoughts on the matter,
Travis

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