English

The correct relatively stable category for idempotent modules

Representation Theory 2007-11-06 v2

Abstract

We answer a question posed by Carlson, Peng, and Wheeler, and demonstrate that in general Rickard modules in relatively stable categories are not idempotent modules even if one localizes with respect to a tensor ideal subcategory. We also show that there is a modification one can make so as to recover the idempotent behaviour.

Keywords

Cite

@article{arxiv.0708.3741,
  title  = {The correct relatively stable category for idempotent modules},
  author = {Matthew Grime},
  journal= {arXiv preprint arXiv:0708.3741},
  year   = {2007}
}

Comments

7 pages revised prior to submission

R2 v1 2026-06-21T09:11:19.636Z