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arxiv: math/0607177 · v1 · submitted 2006-07-06 · 🧮 math.AC

Strong Artin-Rees Property in Rings of dimension one and two

classification 🧮 math.AC
keywords dimensionpropertyringsartin-reesgivestrongexamplesfact
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In this note we give a simple proof of the fact that local rings of dimension one have the strong uniform Artin-Rees property. Moreover, we give two examples of rings of dimension two where the property fails.

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