> Formal Laurent series would also form a field.
> For example the formal Laurent series are a field.

While this is certainly true mathematically, you might run into trouble 
computationally.

In a (additive and commutative) monoid M there is a (unique) x in M such 
that for all m in M it holds:  x + m = m.

Does that axiom hold for your implementation? Can you prove it?

Ralf

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