Homological algebra modulo exact zero-divisors
Petter Andreas Bergh, Olgur Celikbas, David A. Jorgensen
TL;DR
This paper investigates the homological properties of modules over local rings when factoring out exact zero-divisors, revealing results that contrast with those for regular elements.
Contribution
It introduces new homological results for modules over local rings modulo exact zero-divisors, expanding understanding beyond regular element cases.
Findings
New homological behaviors identified for modules over rings modulo zero-divisors
Contrasts established with known results for regular element cases
Provides foundational results for further algebraic exploration
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.