Report on locally finite triangulated categories
نویسندگان
چکیده
منابع مشابه
Locally finite triangulated categories ✩
A k-linear triangulated category A is called locally finite provided ∑ X∈indA dimk HomA(X,Y ) < ∞ for any indecomposable object Y in A. It has Auslander–Reiten triangles. In this paper, we show that if a (connected) triangulated category has Auslander–Reiten triangles and contains loops, then its Auslander–Reiten quiver is of the form L̂n: · · · · ̂ n n− 1 2 1 By using this, we prove that the Aus...
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ژورنال
عنوان ژورنال: Journal of K-theory
سال: 2011
ISSN: 1865-2433,1865-5394
DOI: 10.1017/is011011005jkt172