Mutation in triangulated categories and rigid Cohen–Macaulay modules

Mutation in triangulated categories and rigid Cohen–Macaulay modules
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DOI:
10.1007/s00222-007-0096-4
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发表时间:
2006-07
影响因子:
3.1
通讯作者:
O. Iyama;Y. Yoshino
O. Iyama;Y. Yoshino
中科院分区:
数学1区
文献类型:
--
作者:
O. Iyama;Y. Yoshino

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在具有Auslander-Reiten-Serre对偶的三角范畴中引入了n-簇倾斜子范畴的突变概念。利用这一思想,我们能够得到某些Veronese子环上刚性Cohen-Macaulay模的完全分类。
We introduce the notion of mutation ofn-cluster tilting subcategories in a triangulated category with Auslander–Reiten–Serre duality. Using this idea, we are able to obtain the complete classifications of rigid Cohen–Macaulay modules over certain Veronese subrings.