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"
}