English

Homological algebra modulo exact zero-divisors

Commutative Algebra 2015-11-03 v2

Abstract

We study the homological behavior of modules over local rings modulo exact zero-divisors. We obtain new results which are in some sense "opposite" to those known for modules over local rings modulo regular elements.

Keywords

Cite

@article{arxiv.1012.3010,
  title  = {Homological algebra modulo exact zero-divisors},
  author = {Petter Andreas Bergh and Olgur Celikbas and David A. Jorgensen},
  journal= {arXiv preprint arXiv:1012.3010},
  year   = {2015}
}

Comments

Revised and final version, 14 pages. To appear in Kyoto J. Math

R2 v1 2026-06-21T16:58:22.856Z