自正交子范畴诱导的外差范畴的四分体

arXiv - MATH - Rings and Algebras Pub Date : 2024-08-26 DOI:arxiv-2408.14098

Peiyu Zhang, Yiwen Shi, Dajun Liu, Li Wang, Jiaqun Wei

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引用次数: 0

摘要

让 C 是一个外差范畴。我们证明，由自正交子范畴诱导的外差范畴的两个商范畴，通过两个函数 E 和 Hom 的限制，分别等价于模块范畴。此外，如果自正交子范畴是逆变无限的，那么两个商范畴中就有一个是无性的。这一结果可以看作是刘德莫内和朱周的概括。

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Quotients of extriangulated categories induced by selforthogonal subcategories

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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arXiv - MATH - Rings and Algebras

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