On Wednesday, August 5, 2020 at 10:19:57 AM UTC-7, john_perry_usm wrote: > > > It's possible that you want a local term ordering. Unlike global term > orderings, in a local ordering 1>t for any monomial t. > > TO = TermOrder("negdegrevlex",3) > R = PolynomialRing(GF(2),'x',3,order=TO) > R.inject_variables() > >>>> Defining x0, x1, x2 > I = R.ideal([x0*x1+x2]) > x2.reduce(I) > >>>> x0*x1 > > In which case you need to realize that you're not working in a polynomial ring but in its localization! This has been the source of many bug reports already, and is currently not sufficiently documented.
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