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$ξ$-tilting objects in extriangulated categories
Published 16 Dec 2020 in math.RT | (2012.09002v1)
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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