Publication detail

Cofibrant generation of pure monomorphisms

LIEBERMAN, M. POSITSELSKI, L. ROSICKÝ, J. VASEY, S.

Original Title

Cofibrant generation of pure monomorphisms

Type

journal article in Web of Science

Language

English

Original Abstract

We show that pure monomorphisms are cofibrantly generated-generated from a set of morphisms by pushouts, transfinite composition, and retracts-in any locally finitely presentable additive category. In particular, this is true in any category of R-modules. On the other hand, the classes of all monomorphisms and regular monomorphisms in a locally finitely presentable additive category need not be well-behaved. (C) 2020 Elsevier Inc. All rights reserved.

Keywords

Pure monomorphism, pure injective, cofibrant generation, locally finitely presentable category, additive category

Authors

LIEBERMAN, M.; POSITSELSKI, L.; ROSICKÝ, J.; VASEY, S.

Released

15. 10. 2020

Publisher

Elsevier

Location

Amsterdam, Netherlands

ISBN

0021-8693

Periodical

JOURNAL OF ALGEBRA

Year of study

560

State

United States of America

Pages from

1297

Pages to

1310

Pages count

14

URL

https://www.sciencedirect.com/science/article/pii/S0021869320303185?dgcid=coauthor

BibTex

@article{BUT164387,
  author="Michael Joseph {Lieberman} and Leonid {Positselski} and Jiří {Rosický} and Sebastien {Vasey}",
  title="Cofibrant generation of pure monomorphisms",
  journal="JOURNAL OF ALGEBRA",
  year="2020",
  volume="560",
  number="0",
  pages="1297--1310",
  doi="10.1016/j.jalgebra.2020.05.036",
  issn="0021-8693",
  url="https://www.sciencedirect.com/science/article/pii/S0021869320303185?dgcid=coauthor"
}