science forum beginner
Joined: 15 Sep 2005
|Posted: Tue Feb 21, 2006 1:07 am Post subject:
Ideals with polynomially increasing Groebner bases
how do I get a sequence of ideals with polynomially increasing Groebner
bases (wrt. some standard monomial ordering).
A little more formally, is there a recipe that, given a number N,
produces a non-trivial ideal in Q[x1,x2,x3] with a Groebner basis of
size greater than N, but bounded by p(N) where p is a polynomial? Q
stands for the rationals. (The number of variables is fixed)
What happens if more variables are considered?