English

Not every object in the derived category of a ring is Bousfield equivalent to a module

Category Theory 2012-10-29 v3 Algebraic Topology

Abstract

We consider the derived category of a specific non-Noetherian ring \Lambda, and show that there are objects in D(\Lambda) that are not Bousfield equivalent to any module. This answers a question posed by Dwyer and Palmieri.

Keywords

Cite

@article{arxiv.1202.6494,
  title  = {Not every object in the derived category of a ring is Bousfield equivalent to a module},
  author = {F. Luke Wolcott},
  journal= {arXiv preprint arXiv:1202.6494},
  year   = {2012}
}

Comments

12 pages. This paper has been withdrawn by the author due to a crucial error in the fourth line of the proof of Lemma 3.3