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Browsing by Subject "Quasi coherent sheaf"

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    Phantom covering ideals in categories without enough projective morphisms
    (Elsevier, ) Estrada Domínguez, Sergio; Guil Asensio, Pedro Antonio; Odabasi, Sinem; Matemáticas
    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.

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