Publication result detail

Induced and higher-dimensional stable independence

LIEBERMAN, M.; ROSICKÝ, J.; VASEY, S.

Original Title

Induced and higher-dimensional stable independence

English Title

Induced and higher-dimensional stable independence

Type

WoS Article

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].

English 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

Key words in English

Stable independence; Accessible categories; Classification theory; Categories of modules

Authors

LIEBERMAN, M.; ROSICKÝ, J.; VASEY, S.

RIV year

2023

Released

01.07.2022

Publisher

ELSEVIER

Location

AMSTERDAM

ISBN

0168-0072

Periodical

ANNALS OF PURE AND APPLIED LOGIC

Volume

173

Number

7

State

Kingdom of the Netherlands

Pages from

1

Pages to

15

Pages count

15

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"
}