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arXiv · 2104.06042

Homological Dimensions of Extriangulated Categories and Recollements

Weili Gu·Xin Ma·Lingling Tan
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Abstract

In this paper, let $(\mathcal{A},\mathcal{B},\mathcal{C})$ be a recollement of extriangulated categories. We introduce the global dimension and extension dimension of extriangulated categories, and give some upper bounds of global dimensions (resp. extension dimensions) of the categories involved in $(\mathcal{A},\mathcal{B},\mathcal{C})$, which give a simultaneous generalization of some results in the recollement of abelian categories and triangulated categories.

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BibTeXRIS

Weili Gu, Xin Ma, Lingling Tan. 2021-04-13. Homological Dimensions of Extriangulated Categories and Recollements. https://arxiv.org/abs/2104.06042

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