English

Gorenstein projective objects in homotopy categories

Rings and Algebras 2016-10-04 v1

Abstract

In this paper, we are concerned with Gorenstein projective objects in homotopy categories. Specifically, we present a characterization on Gorenstein projective objects in the category of complexes. Using this result, it is proved that the category of Gorenstein projective objects is a compactly generated triangulated category and an equivalence of triangulated categories is also given over some reasonably nice rings.

Keywords

Cite

@article{arxiv.1604.01549,
  title  = {Gorenstein projective objects in homotopy categories},
  author = {Lu Bo and Liu Zhongkui},
  journal= {arXiv preprint arXiv:1604.01549},
  year   = {2016}
}

Comments

23 pages

R2 v1 2026-06-22T13:26:19.820Z