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arXiv · 2107.13698

s-Recollements and its localization

Yonggang Hu·Panyue Zhou
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Abstract

We introduce a new concept of s-recollements of extriangulated categories, which generalizes recollements of abelian categories, recollements of triangulated categories, as well as recollements of extriangulated categories. Moreover, some basic properties of s-recollements are presented. We also discuss the behavior of the localization theory on the adjoint pair of exact functors. Finally, we provide a method to obtain a recollement of triangulated categories from s-recollements of extriangulated categories via the localization theory.

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Yonggang Hu, Panyue Zhou. 2021-07-29. s-Recollements and its localization. https://arxiv.org/abs/2107.13698

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