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arXiv · 2304.06609

On the notion of sequentially Cohen-Macaulay modules

Giulio Caviglia·Alessandro De Stefani·Enrico Sbarra·Francesco Strazzanti
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Abstract

In this survey paper we first present the main properties of sequentially Cohen-Macaulay modules. Some basic examples are provided to help the reader with quickly getting acquainted with this topic. We then discuss two generalizations of the notion of sequential Cohen-Macaulayness which are inspired by a theorem of J\"urgen Herzog and the third author.

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Giulio Caviglia, Alessandro De Stefani, Enrico Sbarra, Francesco Strazzanti. 2023-04-13. On the notion of sequentially Cohen-Macaulay modules. https://doi.org/10.1007/s40687-022-00332-4

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