On Thursday, February 19, 2015 at 12:10:05 PM UTC-8, Simon King wrote: > > Hi Nils, > > On 2015-02-19, Nils Bruin <[email protected] <javascript:>> wrote: > > Don't all term orderings (in the usual sense) produce the same ordering > on > > a univariate polynomial ring? > > No. You can have x>1 or x<1 (i.e., a global or a local ordering). >
Doesn't the second (local) ordering violate the "usual" part? You would have 1>x>x^2>... etc., which is not allowed according to, for instance, the definition in [Section 15.2 in Eisenbud, Commutative Algebra with a view towards Algebraic Geometry, GTM 150, Springer 2004]] -- You received this message because you are subscribed to the Google Groups "sage-devel" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/sage-devel. For more options, visit https://groups.google.com/d/optout.
