Detail publikace

Cofibrant generation of pure monomorphisms

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

Anglický název

Cofibrant generation of pure monomorphisms

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

en

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.

Anglický 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 anglicky

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

Vydáno

15.10.2020

Nakladatel

Elsevier

Místo

Amsterdam, Netherlands

ISSN

0021-8693

Ročník

560

Strany od–do

1297–1310

Počet stran

14

BIBTEX


@article{BUT164387,
  author="Michael Joseph {Lieberman} and Leonid {Positselski} and Jiří {Rosický} and Sebastien {Vasey},
  title="Cofibrant generation of pure monomorphisms",
  year="2020",
  volume="560",
  month="October",
  pages="1297--1310",
  publisher="Elsevier",
  address="Amsterdam, Netherlands",
  issn="0021-8693"
}