English

A Generalization of the Auslander-Reiten Conjecture for the Bounded Derived Category

Representation Theory 2012-09-12 v1

Abstract

We study the bounded derived category \Db(\Rmod)\D^b(\Rmod) of a left Noetherian ring RR. We give a version of the Generalized Auslander-Reiten Conjecture for \Db(\Rmod)\D^b(\Rmod) that is equivalent to the classical statement for the module category and is preserved under derived equivalence.

Keywords

Cite

@article{arxiv.1109.6072,
  title  = {A Generalization of the Auslander-Reiten Conjecture for the Bounded Derived Category},
  author = {Kosmas Diveris and Marju Purin},
  journal= {arXiv preprint arXiv:1109.6072},
  year   = {2012}
}