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Quotients of extriangulated categories induced by selforthogonal subcategories

Rings and Algebras 2024-08-27 v1

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.

Keywords

Cite

@article{arxiv.2408.14098,
  title  = {Quotients of extriangulated categories induced by selforthogonal subcategories},
  author = {Peiyu Zhang and Yiwen Shi and Dajun Liu and Li Wang and Jiaqun Wei},
  journal= {arXiv preprint arXiv:2408.14098},
  year   = {2024}
}

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16 Pages