论文标题

复合体的另一个版本

Another version of cosupport for complexes

论文作者

Yang, Xiaoyan

论文摘要

本文的目的是在派生的类别$ \ mathrm {d}(r)$中获得令人满意的cosudport理论,这是通过引入“大”和“小” cosupport的另一个版本来完成的。我们为cosupport提供了一些相似或偶尔的属性,即支持复合物。通过示例,我们表明这些版本与[J. Reine Angew。数学。 673(2012)161--207]。我们还研究了“大”和“小”的助推器之间的某些关系,并提供了“小”支持和“小” cosupport的一些计算和比较。

The goal of the article is to get a satisfactory theory of cosupport in the derived category $\mathrm{D}(R)$, this is done by introducing another versions of the "big" and "small" cosupport for complexes. We provide some properties for cosupport that are similar--or rather dual--to those of support for complexes. By examples we show that these versions are differ from the cosupport in [J. Reine Angew. Math. 673 (2012) 161--207]. We also study some relations between the "big" and "small" cosupport and give some computations and comparisons of the "small" support and "small" cosupport.

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