> How many places is this used?  In my (fairly fresh) Sage session,
> there are only 9 actions in the action cache (on matrices, number
> fields, and polynomials).  I'd be willing to write the _get_action_
> methods for these cases, if it would help kill off some of the excess
> error catching in coercion (I'm really not very fond of the idea "try
> it to see if it will work", anyway).

+1 to remove the try if it's work.

The very purpose of the category framework it to declare in a mathematical
way, this that have a matematical meaning. In the case of a right action of A
on B, on declare that B is a A-RightModule. It is much more informative by all
respect than testing if a random element of A accept to be multiplied by a
random element of B.

Since when does mathematician believe in duck typing :-) ? They should have
told me...

Cheers,

Florent

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