Induced and higher-dimensional stable independence
| Authors | |
|---|---|
| Year of publication | 2022 |
| Type | Article in Periodical |
| Magazine / Source | Annals of Pure and Applied Logic |
| MU Faculty or unit | |
| Citation | |
| Web | https://www.sciencedirect.com/science/article/pii/S0168007222000392 |
| Doi | http://dx.doi.org/10.1016/j.apal.2022.103124 |
| Keywords | Stable independence; Accessible categories; Classification theory; Categories of modules |
| Description | 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 [16]. We prove, too, that under the hypotheses of [11], a stable independence notion immediately yields higher-dimensional independence as in [26]. |
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