English

Modules with reducible complexity

Commutative Algebra 2007-08-30 v1

Abstract

For a commutative Noetherian local ring we define and study the class of modules having reducible complexity, a class containing all modules of finite complete intersection dimension. Various properties of this class of modules are given, together with results on the vanishing of homology and cohomology.

Keywords

Cite

@article{arxiv.0708.3907,
  title  = {Modules with reducible complexity},
  author = {Petter Andreas Bergh},
  journal= {arXiv preprint arXiv:0708.3907},
  year   = {2007}
}

Comments

13 pages

R2 v1 2026-06-21T09:11:41.529Z