s-Recollements and its localization
Representation Theory
2021-07-30 v1 Category Theory
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.
Keywords
Cite
@article{arxiv.2107.13698,
title = {s-Recollements and its localization},
author = {Yonggang Hu and Panyue Zhou},
journal= {arXiv preprint arXiv:2107.13698},
year = {2021}
}
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24 pages