Applications and homological properties of local rings with decomposable maximal ideals
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DOI: 10.1016/j.jpaa.2018.06.006
Abstract: 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 $R_{\mathfrak{p}}$ does not satisfy Auslander's condition (AC). Given any positive integer… read more here.
Keywords: mathfrak; homological properties; cohen macaulay; local rings ... See more keywords