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dim.m2
R=QQ[x]/ideal(x^2) q=ideal(x) G=associatedGradedRing q dim G assert( dim G == 0 ) S=QQ[x,y,z,s] k=intersect(ideal(x^3, z^2), ideal(y^4, s^2), ideal(x+z, y-z)) R=S/k q=ideal(x-s+y, s+z) radical q G=associatedGradedRing q assert( dim G == 2 )