English

About the Cohen-Macaulay defect and almost Cohen-Macaulay rings

Commutative Algebra 2024-07-23 v2

Abstract

We notice the connection between almost Cohen-Macaulay rings and the Cohen-Macaulay defect. We introduce a Serre-type condition for modules, that is connected to the Cohen-Macaulay defect in the same way that the condition (Sn)(S_n) is connected to Cohen-Macaulay modules.

Keywords

Cite

@article{arxiv.2402.06566,
  title  = {About the Cohen-Macaulay defect and almost Cohen-Macaulay rings},
  author = {Cristodor Ionescu},
  journal= {arXiv preprint arXiv:2402.06566},
  year   = {2024}
}