I like "C morphism" in general, where "C" is the class name, so I use "Applicative morphism" or "applicative functor morphism" (as in http://conal.net/papers/type-class-morphisms/).

  - Conal

On Fri, Nov 5, 2010 at 8:49 PM, <roconnor@theorem.ca> wrote:
An applicative functor morphism is a polymorphic function,
eta : forall a. A1 a -> A2 a between two applicative functors A1 and A2 that preserve pure and <*>:

eta (pure c) = pure c
eta (f <*> x) = eta f <*> eta x

What do you guys call such a thing?  My leading candidate is "idomatic transformation".

--
Russell O'Connor                                      <http://r6.ca/>
``All talk about `theft,''' the general counsel of the American Graphophone
Company wrote, ``is the merest claptrap, for there exists no property in
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