A lower bound on $\text{depth}A/{\mathbf{I}}^{\mathbf{n}}$

Tony J. Puthenpurakal

Let $(A,\mathfrak{m})$ be a Noetherian local ring and let $I\subseteq \mathfrak{m}$ be an ideal in $A$. Let $\ell (I)$ be the analytic spread of $I$. Let $G_I(A) = \bigoplus_{n \geq…