+1 It's better to raise an error then to fail silently. If it turns out that a lot of doctest break because of this change it is maybe good to instead create a method called reduce_unique, or add a keyword unique to reduce. Here reduce_unique should have the additional property that I.reduce_unique(f)==I.reduce_unique(g) if and only if f = g mod I.
Le samedi 26 janvier 2013 23:58:54 UTC+1, Volker Braun a écrit : > > A univariate polynomial ring over a field is a PID, but not if its over a > general ring. E.g. <2,x> in ZZ[x] can't be generated by a single polynomial. > > > > On Saturday, January 26, 2013 10:45:18 PM UTC, Charles Bouillaguet wrote: >> >> If I am not mistaken, any ideal I = <f_1, …, f_r> of R[x] is spanned by >> a **single** polynomial (which is the gcd of the f_i). So, in your >> examples, the ideal spanned by x^2 and x^2+x+1 is in fact R[x], because >> their gcd is one. >> > -- You received this message because you are subscribed to the Google Groups "sage-devel" group. To post to this group, send email to sage-devel@googlegroups.com. To unsubscribe from this group, send email to sage-devel+unsubscr...@googlegroups.com. Visit this group at http://groups.google.com/group/sage-devel?hl=en.
