That is definitely a bug, and cause by the similarly wrong sage: I.complete_primary_decomposition() [(Ideal (1) of Multivariate Polynomial Ring in x, y over Rational Field, Ideal (1) of Multivariate Polynomial Ring in x, y over Rational Field)]
which I'm sure has been reported before. The primary decomposition of (1) should be the empty list. John Cremona On 27 January 2014 13:53, <kroe...@uni-math.gwdg.de> wrote: > Hello, > > I'm a bit confused about Sage's answer if Ideal(1) is prime. > > R.<x,y>= QQ[] > I = Ideal(R(1)) > I.is_prime() > > Sage (5.11, not only) says yes, > conflicting to the definition, http://en.wikipedia.org/wiki/Prime_ideal > Has somebody an expanation of this behaviour? > > > Jack > > -- > You received this message because you are subscribed to the Google Groups > "sage-support" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to sage-support+unsubscr...@googlegroups.com. > To post to this group, send email to sage-support@googlegroups.com. > Visit this group at http://groups.google.com/group/sage-support. > For more options, visit https://groups.google.com/groups/opt_out. -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To post to this group, send email to sage-support@googlegroups.com. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/groups/opt_out.
