April 12th, 2011, 08:00 AM  #1 
Newbie Joined: Apr 2011 Posts: 4 Thanks: 0  Reduced Monomials
Can someone please explain how to compute a set of grobner basisreduced monomials, for example, Let J denote the ideal in R[x,y,x]; J:=<x^2+y^2+z^2,x*y*z,x+y+z> then a Grobner basis with respect to the ordering x>y>z is GB:=(z^3,y^2+z^2+y*z,x+y+z) and the set of Grobner basisreduced monomials is: rM(GB):={1,y,z,z^2,zy,y*z^2} I'm not entirely sure how these sets are generated, could someone please exaplain? Thanks. 

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monomials, reduced 
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