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