Hi,

I'd like to "remove squares" in some polynomials living in a polynomial 
ring over QQ, in 2 variables: x,y. I tried to implement this by modding out 
by the ideal (x^2 - x, y^2 - y). However, I have found that depending on 
the ordering, the result of .mod() does not always output the polynomial I 
am looking for. 

Please see attached for a code example: in the ring R2, the order is 
specified as lex, and the polynomial x + y^2 does not reduce to x + y I 
would like. This issue does not come up for the ring R1 (no ordering 
specified explicitly), where both x + y^2 and x^2 + y reduce to x + y as 
expected.

Is there a way to force reduction even for the non-leading terms?

Thanks,
Rachel


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