The derived-discrete algebras and standard equivalences

The derived-discrete algebras and standard equivalences
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DOI:
10.1016/j.jalgebra.2019.01.031
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发表时间:
2017-05
期刊:
影响因子:
0.9
通讯作者:
Xiao-Wu Chen;Chao Zhang
Xiao-Wu Chen;Chao Zhang
中科院分区:
数学3区
文献类型:
--
作者:
Xiao-Wu Chen;Chao Zhang

文献摘要

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我们证明了有限整体维的导数离散代数之间的任何推导等价都是标准的,即通过一个双边倾斜复形证明其与推导出的张量函子同构。
We prove that any derived equivalence between derived-discrete algebras of finite global dimension is standard, that is, isomorphic to the derived tensor functor by a two-sided tilting complex.