English

The depth formula for modules with reducible complexity

Commutative Algebra 2009-09-24 v1 K-Theory and Homology

Abstract

We prove that the depth formula holds for \Tor\Tor-independent modules in certain cases over a Cohen-Macaulay local ring, provided one of the modules has reducible complexity.

Keywords

Cite

@article{arxiv.0909.4102,
  title  = {The depth formula for modules with reducible complexity},
  author = {Petter Andreas Bergh and David Jorgensen},
  journal= {arXiv preprint arXiv:0909.4102},
  year   = {2009}
}

Comments

12 pages

R2 v1 2026-06-21T13:49:19.169Z