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LIEBERMAN, M. ROSICKÝ, J. VASEY, S.
Original Title
Induced and higher-dimensional stable independence
Type
journal article in Web of Science
Language
English
Original Abstract
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 higherdimensional independence as in [26].
Keywords
Stable independence; Accessible categories; Classification theory; Categories of modules
Authors
LIEBERMAN, M.; ROSICKÝ, J.; VASEY, S.
Released
1. 7. 2022
Publisher
ELSEVIER
Location
AMSTERDAM
ISBN
0168-0072
Periodical
ANNALS OF PURE AND APPLIED LOGIC
Year of study
173
Number
7
State
Kingdom of the Netherlands
Pages from
1
Pages to
15
Pages count
URL
https://www.sciencedirect.com/science/article/pii/S0168007222000392
BibTex
@article{BUT178183, author="Michael Joseph {Lieberman} and Jiří {Rosický} and Sebastien {Vasey}", title="Induced and higher-dimensional stable independence", journal="ANNALS OF PURE AND APPLIED LOGIC", year="2022", volume="173", number="7", pages="1--15", doi="10.1016/j.apal.2022.103124", issn="0168-0072", url="https://www.sciencedirect.com/science/article/pii/S0168007222000392" }