Detail publikace

Cofibrant generation of pure monomorphisms

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

Originální název

Cofibrant generation of pure monomorphisms

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

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

Autoři

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

Vydáno

15. 10. 2020

Nakladatel

Elsevier

Místo

Amsterdam, Netherlands

ISSN

0021-8693

Periodikum

JOURNAL OF ALGEBRA

Ročník

560

Stát

Spojené státy americké

Strany od

1297

Strany do

1310

Strany počet

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"
}