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 Jürgen Herzog and the third author.
On the notion of sequentially Cohen–Macaulay modules
Alessandro De Stefani;Francesco Strazzanti
2022-01-01
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 Jürgen Herzog and the third author.
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