English

A note on the singularity category of an endomorphism ring

Rings and Algebras 2015-12-09 v1 Representation Theory

Abstract

We propose the notion of partial resolution of a ring, which is by definition the endomorphism ring of a certain generator of the given ring. We prove that the singularity category of the partial resolution is a quotient of the singularity category of the given ring. Consequences and examples are given.

Keywords

Cite

@article{arxiv.1307.6915,
  title  = {A note on the singularity category of an endomorphism ring},
  author = {Xiao-Wu Chen},
  journal= {arXiv preprint arXiv:1307.6915},
  year   = {2015}
}
R2 v1 2026-06-22T00:58:10.235Z