From triangulated categories to module categories via localisation II: calculus of fractions
نویسندگان
چکیده
منابع مشابه
From triangulated categories to module categories via localisation II: calculus of fractions
We show that the quotient of a Hom-finite triangulated category C by the kernel of the functor HomC(T, −), where T is a rigid object, is preabelian. We further show that the class of regular morphisms in the quotient admit a calculus of left and right fractions. It follows that the Gabriel-Zisman localisation of the quotient at the class of regular morphisms is abelian. We show that it is equiv...
متن کاملFrom triangulated categories to module categories via localization II: calculus of fractions
We show that the quotient of a Hom-finite triangulated category C by the kernel of the functor HomC(T,−), where T is a rigid object, is preabelian. We further show that the class of regular morphisms in the quotient admits a calculus of left and right fractions. It follows that the Gabriel–Zisman localization of the quotient at the class of regular morphisms is abelian. We show that it is equiv...
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2013
ISSN: 0024-6107,1469-7750
DOI: 10.1112/jlms/jdt015