Buchberger's Criterion - Pure Mathematics - Algebra Dictionary Definition A characterization stating that a finite set of polynomials is a Gröbner basis (for a fixed monomial order) if and only if every S-polynomial of every pair of elements of the set reduces to zero modulo that set.
Buchberger's Criterion - Pure Mathematics - Algebra Dictionary Definition A characterization stating that a finite set of polynomials is a Gröbner basis (for a fixed monomial order) if and only if every S-polynomial of every pair of elements of the set reduces to zero modulo that set.