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arxiv: 2408.14098 · v1 · pith:QA6SWMQInew · submitted 2024-08-26 · 🧮 math.RA

Quotients of extriangulated categories induced by selforthogonal subcategories

classification 🧮 math.RA
keywords categoriesselforthogonalcategoryextriangulatedinducedquotientsubcategoriesabelian
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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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