Publication detail

Induced and higher-dimensional stable independence

LIEBERMAN, M. ROSICKÝ, J. VASEY, S.

English title

Induced and higher-dimensional stable independence

Type

journal article in Web of Science

Language

en

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 in English

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

Released

01.07.2022

Publisher

ELSEVIER

Location

AMSTERDAM

ISSN

0168-0072

Volume

173

Number

7

Pages from–to

1–15

Pages count

15

BIBTEX


@article{BUT178183,
  author="Michael Joseph {Lieberman} and Jiří {Rosický} and Sebastien {Vasey},
  title="Induced and higher-dimensional stable independence",
  year="2022",
  volume="173",
  number="7",
  month="July",
  pages="1--15",
  publisher="ELSEVIER",
  address="AMSTERDAM",
  issn="0168-0072"
}