Local to global principles for generation time over commutative noetherian rings

Local to global principles for generation time over commutative noetherian rings
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交换诺特环上生成时间的局部到全局原则

DOI:
10.4310/hha.2021.v23.n2.a10
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发表时间:
2020
期刊:
Homology, Homotopy and Applications
影响因子:
--
通讯作者:
Janina C. Letz
Janina C. Letz
中科院分区:
--
文献类型:
--
作者:
Janina C. Letz

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在交换Noether环上的模的导出范畴中,称复G生成复X,如果后者可以从前者通过取和数和多个锥得到。在这个过程中所需的锥的数量是$X$的生成时间。在本文中,我们提出了一些局部到全局类型的结果计算这个不变量,并讨论应用。
In the derived category of modules over a commutative noetherian ring a complex $G$ is said to generate a complex $X$ if the latter can be obtained from the former by taking summands and finitely many cones. The number of cones required in this process is the generation time of $X$. In this paper we present some local to global type results for computing this invariant, and discuss applications.
局部完整的交叉路口地图和代理小属性
DOI: 10.1093/imrn/rnab041
发表时间: 2021
影响因子: 1
作者:
Briggs, Benjamin;Iyengar, Srikanth B;Letz, Janina C;Pollitz, Josh
通讯作者: Pollitz, Josh