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Let R be a Noetherian Ring and I an ideal in R.
Let I = Q_1 n ... n Q_r = J_1 n ... n J_r be two primary decompositions of I.
How can I show the number of irreducible components in each decomposition is the same?
Let I = Q_1 n ... n Q_r = J_1 n ... n J_r be two primary decompositions of I.
How can I show the number of irreducible components in each decomposition is the same?