| LIEBERMAN, Michael, Leonid POSITSELSKIY, Jiří ROSICKÝ a Sébastien Bernard VASEY. Cofibrant generation of pure monomorphisms. Journal of Algebra. San Diego: Academic Press Inc. Elsevier Science, 2020, roč. 560, June, s. 1297-1310. ISSN 0021-8693. Dostupné z: https://dx.doi.org/10.1016/j.jalgebra.2020.05.036. |
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@article{1668842,
author = {Lieberman, Michael and Positselskiy, Leonid and Rosický, Jiří and Vasey, Sébastien Bernard},
article_location = {San Diego},
article_number = {June},
doi = {http://dx.doi.org/10.1016/j.jalgebra.2020.05.036},
keywords = {pure monomorphism; pure injective; cofibrant generation; locally finitely presentable category; additive category},
language = {eng},
issn = {0021-8693},
journal = {Journal of Algebra},
title = {Cofibrant generation of pure monomorphisms},
url = {https://doi.org/10.1016/j.jalgebra.2020.05.036},
volume = {560},
year = {2020}
}
TY - JOUR
ID - 1668842
AU - Lieberman, Michael - Positselskiy, Leonid - Rosický, Jiří - Vasey, Sébastien Bernard
PY - 2020
TI - Cofibrant generation of pure monomorphisms
JF - Journal of Algebra
VL - 560
IS - June
SP - 1297-1310
EP - 1297-1310
PB - Academic Press Inc. Elsevier Science
SN - 00218693
KW - pure monomorphism
KW - pure injective
KW - cofibrant generation
KW - locally finitely presentable category
KW - additive category
UR - https://doi.org/10.1016/j.jalgebra.2020.05.036
L2 - https://doi.org/10.1016/j.jalgebra.2020.05.036
N2 - 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 modules.
ER -
LIEBERMAN, Michael, Leonid POSITSELSKIY, Jiří ROSICKÝ a Sébastien Bernard VASEY. Cofibrant generation of pure monomorphisms. \textit{Journal of Algebra}. San Diego: Academic Press Inc. Elsevier Science, 2020, roč.~560, June, s.~1297-1310. ISSN~0021-8693. Dostupné z: https://dx.doi.org/10.1016/j.jalgebra.2020.05.036.
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