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arXiv · 2408.14098

Quotients of extriangulated categories induced by selforthogonal subcategories

Peiyu Zhang·Yiwen Shi·Dajun Liu·Li Wang·Jiaqun Wei
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Abstract

Let C be an extriangulated category. We prove that two quotient categories of extriangu?lated categories induced by selforthogonal subcategories are equivalent to module categories by restriction of two functors E and Hom, respectively. Moreover, if the selforthogonal sub?category is contravariantly finite, then one of the two quotient categories is abelian. This result can be regarded as a generalization of Demonet-Liu and Zhou-Zhu.

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Peiyu Zhang, Yiwen Shi, Dajun Liu, Li Wang, Jiaqun Wei. 2024-08-26. Quotients of extriangulated categories induced by selforthogonal subcategories. https://arxiv.org/abs/2408.14098

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