English

On the notion of sequentially Cohen-Macaulay modules

Commutative Algebra 2023-04-14 v1

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.

Keywords

Cite

@article{arxiv.2304.06609,
  title  = {On the notion of sequentially Cohen-Macaulay modules},
  author = {Giulio Caviglia and Alessandro De Stefani and Enrico Sbarra and Francesco Strazzanti},
  journal= {arXiv preprint arXiv:2304.06609},
  year   = {2023}
}
R2 v1 2026-06-28T10:04:53.272Z