منابع مشابه
Quotient Triangulated Categories
For self-orthogonal modules T , the quotient triangulated categories D(A)/K(addT ) are studied, in particular, their relations with the stable categories of some Frobenius categories are investigated. New descriptions of the singularity categories of Gorenstein algebras are obtained; and the derived categories of Gorenstein algebras are explicitly given, inside the stable categories of the grad...
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We prove there is an equivalence of derived categories between Orlov’s triangulated category of singularities for a Gorenstein cyclic quotient singularity and the derived category of representations of a quiver with relations, which is obtained from a McKay quiver by removing one vertex and half of the arrows. This result produces examples of distinct quivers with relations which have equivalen...
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Let E be a Frobenius category, let E denote its stable category. The shift functor on E induces a first shift functor on the category of acyclic complexes with entries in E by pointwise application. Shifting a complex by 3 positions yields a second shift functor on this category. Passing to the quotient modulo split acyclic complexes, Heller remarked that these two shift functors become isomorp...
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ژورنال
عنوان ژورنال: manuscripta mathematica
سال: 2007
ISSN: 0025-2611,1432-1785
DOI: 10.1007/s00229-007-0090-6