Hi,
First, I think (at least last time I tried) there is a lot of room to
speed
up arithmetic in function fields, which would be my first priority.
Second, as a mathematical construction, I think that the
localizations
A_S where A is a ring (e.g. UFD or PID) and S = {p_1,...,p_n} is a
set
of primes/irreducibles, would be a useful class to have.
If one knows the primes inverted this would give the "correct"
structure
in which to carry out these calculations.
Regards,
David
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