论文标题
诱导且较高的稳定独立性
Induced and higher-dimensional stable independence
论文作者
论文摘要
我们提供了稳定的独立性概念理论中的几种至关重要的技术扩展。特别是,我们描述了可以将稳定的独立概念从子类别转移到整个类别的情况,并将许多应用程序转移到组和模块类别,从而扩展了[MAA]的结果。我们也证明,在[LRV]的假设下,一个稳定的独立概念立即产生较高的独立性,如[SV]中。
We provide several crucial technical extensions of the theory of stable independence notions in accessible categories. In particular, we describe circumstances under which a stable independence notion can be transferred from a subcategory to a category as a whole, and examine a number of applications to categories of groups and modules, extending results of [MAa]. We prove, too, that under the hypotheses of [LRV], a stable independence notion immediately yields higher-dimensional independence as in [SV].