Oh, then I have some questions.

First how shall the class finally be named (the current name
PowerSeriesI is rather a working title):
LazyPowerSeries (conflict with Mike Hansen's package),
InfinitePowerSeries, LIPS?

and into which package should it go: sage.rings ?

shall it inherit from Ring?

Though it can also be used as a field if it is taken over a Field
(i.e. has formal laurant series properties).

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