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Inverse limits of Macaulay's inverse systems

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Abstract 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… Click to show full abstract

Abstract 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.

Keywords: inverse limits; inverse systems; macaulay inverse; limits macaulay

Journal Title: Journal of Algebra
Year Published: 2019

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