$ξ$-tilting objects in extriangulated categories

Yuxia Mei, Jiaqun Wei

Published 2020-12-16Version 1

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 $\xi$-tilting object in an extriangulated category, where $\xi$ is a proper class of $\mathbb{E}$-triangles. This extends results in \cite{YGH_2020}.