Simon King wrote:
> I think quite often one is in a situation that one has two different
> sets (rings, groups, ...) S1, S2, such that there is only one action 
of
> S1 on S2 from the left, and thus if one has s1 from S1 and s2 from S2,
> then s1*s2 is not ambiguous.

I guess it depends what exactly you mean by "only one action of S1 on 
S2": think of S1 = K[x][d/dx] and S2 = K[x]. Differential operators act 
on polynomials (e.g., d/dx(x) = 1), but there is also an embedding of 
K[x] into K[x][d/dx] under which d/dx*x = x*d/dx+1. The internal 
multiplication of K[x][d/dx] applied in this context is not a left 
action of K[x][d/dx] _on K[x]_, but I would definitely expect (d/dx)*x 
to coerce x to K[x][d/dx] and multiply there.

-- 
Marc

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