Singular equivalences of commutative noetherian rings and reconstruction of singular loci
Singular equivalences of commutative noetherian rings and reconstruction of singular loci
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交换诺特环的奇异等价与奇异轨迹的重构
DOI：
10.1016/j.jalgebra.2018.11.037
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发表时间：
2019
影响因子：
0.9
通讯作者：
Matsui Hiroki
中科院分区：
文献类型：
--
作者：
Hiroki Matsui;Tran Tuan Nam;Ryo Takahashi;Nguyen Minh Tri;Do Ngoc Yen;Matsui Hiroki
两个左诺特环若其奇异范畴等价于三角范畴，则称它们奇异等价。给出了两个交换Noether环奇异等价的一个必要条件。为了做到这一点，我们开发了一个支持理论的三角范畴没有张量结构。
Two left noetherian ringsRandSare said to besingularly equivalentif their singularity categories are equivalent as triangulated categories. The aim of this paper is to give a necessary condition for two commutative noetherian rings to be singularly equivalent. To do this, we develop a support theory for triangulated categories without tensor structure.