>> Monad  ( 1) for *)
>> MonadWithUnit ( 2) for *)

> Yes.  We probably should rename them.  Currently there is
> domain Magma which probably should be renamed to FreeMagma
> and get appropriate category (say MagmaWithUnit). AFAICS
> the two categories fit nicely above SemiGroup and Monoid.

I'd prefer Magma instead of Monad as an algebra concept, i.e. a set with
a (closed) binary operation. If I hear monad, it's connected to category
theory. And also Haskell uses monad in the category theory sense.

In the sense that Waldek suggested, maybe we should have AdditiveMagma
and MultiplicativeMagma.

Ralf


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