Publication: Phantom covering ideals in categories without enough projective
morphisms
Authors
Estrada Domínguez, Sergio ; Guil Asensio, Pedro Antonio ; Odabasi, Sinem
item.page.secondaryauthor
item.page.director
Publisher
Elsevier
publication.page.editor
publication.page.department
DOI
https://doi.org/10.1016/j.jalgebra.2020.06.014
item.page.type
info:eu-repo/semantics/article
Description
© 2020 Elsevier Inc. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ This document is the Accepted Manuscript version of a Published Work that appeared in final form in Journal of Algebra. To access the final edited and published work see https://doi.org/10.1016/j.jalgebra.2020.06.014
Abstract
We give sufficient conditions to ensure that the ideal
of
-phantom maps in a locally λ-presentable exact category
is a (special) (pre)covering ideal, where
is an exact substructure of
. As a byproduct, we infer the existence of various covering ideals in categories of sheaves which have a meaningful geometrical motivation. In particular, we deal with a Zariski-local notion of phantom maps in categories of sheaves. We would like to point out that our approach is necessarily different from [18], as the categories involved in most of the examples we are interested in, do not have enough projective morphisms.
publication.page.subject
Citation
Jounal of Algebra, 2020, Vol. 562, pp. 94-114
item.page.embargo
Collections
Ir a Estadísticas
Este ítem está sujeto a una licencia Creative Commons. http://creativecommons.org/licenses/by-nc-nd/4.0/