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arxiv: 1302.2062 · v1 · pith:M3RB5SJLnew · submitted 2013-02-08 · 🧮 math.RA · math.RT

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

classification 🧮 math.RA math.RT
keywords categoriescaseone-sidedresulttriangulatedabeliandemonet-liuexact
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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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