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reduction Reduction of ideal in noetherian local ring

Let $R$ be a noetherian locallocal ring and $I$ an ideal with ht $I=\mu(I)$ prove$\operatorname{ht}I=\mu(I)$. Prove that I$I$ is basic. recall (Recall that thean ideal $I$ is basic when it has no proper reduction.)

reduction of ideal in noetherian ring

Let $R$ be a noetherian local ring and $I$ an ideal with ht $I=\mu(I)$ prove that I is basic. recall that the ideal $I$ is basic when it has no proper reduction

Reduction of ideal in noetherian local ring

Let $R$ be a noetherian local ring and $I$ an ideal with $\operatorname{ht}I=\mu(I)$. Prove that $I$ is basic. (Recall that an ideal $I$ is basic when it has no proper reduction.)

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reduction of ideal in noetherian ring

Let $R$ be a noetherian local ring and $I$ an ideal with ht $I=\mu(I)$ prove that I is basic. recall that the ideal $I$ is basic when it has no proper reduction