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arxiv: 1803.06215 · v3 · pith:NWIKOIJ5new · submitted 2018-03-16 · 🧮 math.AC

Inverse limits of Macaulay's inverse systems

classification 🧮 math.AC
keywords inverselimitsmacaulayresultsystemsalgebrasauthorcohen-macaulay
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Generalizing a result of Masuti and the second author, we describe inverse limits of Macaulay's inverse systems for Cohen-Macaulay factor algebras of formal power series or polynomial rings over an infinite field. On the way we find a strictness result for filtrations defined by regular sequences. It generalizes both a lemma of Uli Walther and the Rees isomorphism.

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