Induced and higher-dimensional stable independence

• Autoři: LIEBERMAN Michael; ROSICKÝ Jiří; VASEY Sebastien
• Rok publikování: 2022
• Druh: Článek v odborném periodiku
• Časopis / Zdroj: Annals of Pure and Applied Logic
• Fakulta / Pracoviště MU: Přírodovědecká fakulta
• www: https://www.sciencedirect.com/science/article/pii/S0168007222000392
• Doi: http://dx.doi.org/10.1016/j.apal.2022.103124
• Klíčová slova: Stable independence; Accessible categories; Classification theory; Categories of modules
• Popis: 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].

Související projekty

• Injektivita a monády v algebře a topologii