English

Cohen-Macaulayness with respect to Serre classes

Commutative Algebra 2008-05-01 v1

Abstract

Let RR be a commutative Noetherian ring. The notion of regular sequences with respect to a Serre class of RR-modules is introduced and some of their essential properties are given. Then in the local case, we explore a theory of Cohen-Macaulayness with respect to Serre classes.

Keywords

Cite

@article{arxiv.0804.4795,
  title  = {Cohen-Macaulayness with respect to Serre classes},
  author = {Mohsen Asgharzadeh and Massoud Tousi},
  journal= {arXiv preprint arXiv:0804.4795},
  year   = {2008}
}

Comments

18 pages

R2 v1 2026-06-21T10:36:03.897Z