On Thursday, February 19, 2015 at 8:46:19 AM UTC-8, Enrique Artal wrote:
>
> For the first one, it was already reported, with an open ticket, but I am 
> worried about it since it produces wrong outputs. The problem appears 
> working with polynomial rings with local orders, e.g., 
> *R.<x,y>=PolynomialRing(QQ,order='neglex')*. If one defines a non 
> constant polynomial with constant leading monomial,  e.g. *f=1+x*, the 
> output of *1/f* is *1*;
>
I assume you are referring to http://trac.sagemath.org/ticket/10708 . 
Indeed, that is rather worrying behaviour.

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