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For every prime ideal $P$ of any Cohen-Macaulay ring $R$, is the sequence $depth $\operatorname{depth}(R/P^n)$ eventually constant?

Let $P$ be a prime ideal of a Cohen-Macaulay ring $R$. Then is the sequence $depth (R/P^n)$$\operatorname{depth}(R/P^n)$ eventually constant ?

For every prime ideal $P$ of any Cohen-Macaulay ring $R$, is the sequence $depth (R/P^n)$ eventually constant?

Let $P$ be a prime ideal of a Cohen-Macaulay ring $R$. Then is the sequence $depth (R/P^n)$ eventually constant ?

For every prime ideal $P$ of any Cohen-Macaulay ring $R$, is the sequence $\operatorname{depth}(R/P^n)$ eventually constant?

Let $P$ be a prime ideal of a Cohen-Macaulay ring $R$. Then is the sequence $\operatorname{depth}(R/P^n)$ eventually constant ?

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user521337
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For every prime ideal $P$ of any Cohen-Macaulay ring $R$, is the sequence $depth (R/P^n)$ eventually constant  ?

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user521337
  • 1.2k
  • 7
  • 16

For every prime ideal $P$ of any Cohen-Macaulay ring $R$, is the sequence $depth (R/P^n)$ eventually constant ?

Let $P$ be a prime ideal of a Cohen-Macaulay ring $R$. Then is the sequence $depth (R/P^n)$ eventually constant ?