Simon, I have seen graded rings before, for example when defining homogeneous rings one has standard and non-standard gradings. But the grading wasn't determined by a term ordering in those cases, and I have seen a distinction between the two: a recent paper on Computing Inhomogeneous Groebner Bases by Bigatti, Caboara, and Robbiano distinguishes monomial orderings that are compatible with a grading from those that are not.
Are you saying the first row of a matrix term ordering determines the degree of the generators? So, if I use the lexicographic ordering, which is represented by the identity matrix, the degree of x1 is 1, and the degrees of the other generators are 0? Either way, where can I find a precise definition of "degree of a monomial" that differs from the definitions I've given above? john -- To post to this group, send an email to sage-devel@googlegroups.com To unsubscribe from this group, send an email to sage-devel+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-devel URL: http://www.sagemath.org
