English

$\xi$-tilting objects in extriangulated categories

Representation Theory 2020-12-17 v1

Abstract

Extriangulated categories were introduced by Nakaoka and Palu by extracting the similarities between exact categories and triangulated categories. In this article, we introduce and study the notion of ξ\xi-tilting object in an extriangulated category, where ξ\xi is a proper class of E\mathbb{E}-triangles. This extends results in \cite{YGH_2020}.

Keywords

Cite

@article{arxiv.2012.09002,
  title  = {$\xi$-tilting objects in extriangulated categories},
  author = {Yuxia Mei and Jiaqun Wei},
  journal= {arXiv preprint arXiv:2012.09002},
  year   = {2020}
}
R2 v1 2026-06-23T21:01:12.485Z