Applications and homological properties of local rings with decomposable maximal ideals

Saeed Nasseh, Sean Sather-Wagstaff, Ryo Takahashi +1

We construct a local Cohen-Macaulay ring $R$ with a prime ideal $\mathfrak{p}\in\spec(R)$ such that $R$ satisfies the uniform Auslander condition (UAC), but the localization $R_{\m…