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arXiv · 2012.09002

$\xi$-tilting objects in extriangulated categories

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

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Yuxia Mei, Jiaqun Wei. 2020-12-16. $\xi$-tilting objects in extriangulated categories. https://arxiv.org/abs/2012.09002

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