Dear all,
While working on Puiseux series [1] I wanted to introduce a construction
functor for them. When the base ring is algebraically closed then it is
an algebraic closure functor (from power series). But when it is not, it
is an infinite algebraic extension (ie adding all x^(1/n)). I think that
it would make sense for such a functor since the same construction is in
action from QQ to the universal cyclotomic field.
Any suggestion on what should be done here?
Best
Vincent
[1] https://trac.sagemath.org/ticket/4618
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