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April 12th, 2011, 08:00 AM   #1
Joined: Apr 2011

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Reduced Monomials

Can someone please explain how to compute a set of grobner basis-reduced monomials, for example,

Let J denote the ideal in R[x,y,x];


then a Grobner basis with respect to the ordering x>y>z is


and the set of Grobner basis-reduced monomials is:


I'm not entirely sure how these sets are generated, could someone please exaplain?

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monomials, reduced

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