کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9493136 | 1630564 | 2005 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Locally finite triangulated categories
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
A k-linear triangulated category A is called locally finite provided âXâindAdimkHomA(X,Y)<â 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 LËn: By using this, we prove that the Auslander-Reiten quiver of any locally finite triangulated category A is of the form ZÎâ/G, where Î is a Dynkin diagram and G is an automorphism group of ZÎâ. For most automorphism groups G, the triangulated categories with ZÎâ/G as their Auslander-Reiten quivers are constructed. In particular, a triangulated category with LËn as its Auslander-Reiten quiver is constructed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 290, Issue 2, 15 August 2005, Pages 473-490
Journal: Journal of Algebra - Volume 290, Issue 2, 15 August 2005, Pages 473-490
نویسندگان
Jie Xiao, Bin Zhu,