Question: Let R = C [ x , y , z ] and S = C [ t ] where x , t , z ,

Let R = C[x,y,z] and S = C[t] where x,t,z,t are variables. Let : R S be a homomorphism given by (x)= t3,(y)= t4 and (z)= t5. Show that ker()=(x3yz,y2xz,z2x2y).

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