While the ring type hierarchy does not reflect that polynomials are power 
series, you can have a power series without bigoh which is pratically a 
polynomial but, being a power series, has much less member functions 
available.

I think Sage shouldn't allow a zero bigoh term in power series. It should 
avoid unexpected behaviour, eg. users complaining that a polynomial isn't 
what it seems.

But I'm writing here to ask for your opinion before I think about patching, 
because I'm only beginning to understand Sage, and I'm not even a 
mathematician!

Regards,
Ralf Stephan

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