English

Quotients of one-sided trianglated categories by rigid subcategories as module categories

Rings and Algebras 2013-02-11 v1 Representation Theory

Abstract

We prove that some subquotient categories of one-sided triangulated categories are abelian. This unifies a result by Iyama-Yoshino in the case of triangulated categories and a result by Demonet-Liu in the case of exact categories.

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Cite

@article{arxiv.1302.2062,
  title  = {Quotients of one-sided trianglated categories by rigid subcategories as module categories},
  author = {Zengqiang Lin and Yang Zhang},
  journal= {arXiv preprint arXiv:1302.2062},
  year   = {2013}
}

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16 pages