Quotient of cohen macaulayCohen-Macaulay ring

Let $A$ be a cohenCohen-macaulayMacaulay ring, and $I$ an ideal of $A$. What can we say about $\operatorname{depth} (A/I)$$\operatorname{depth}(A/I)$?
I know that $\operatorname{depth(A/I)}\le \dim(A/I).$$\operatorname{depth}(A/I)\le \dim(A/I)$.

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edit approved Jul 22, 2016 at 19:34

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Let $A$ be a cohen-macaulay ring, and I$I$ an ideal of $A$. What can we say about depth(A/I)$\operatorname{depth} (A/I)$?
I know that depth(A/I) less than or equal to dim(A/I).$\operatorname{depth(A/I)}\le \dim(A/I).$