论文标题

不寻常的光谱类别

Unusual spectral categories

论文作者

Paniagua, María José Arroyo, Facchini, Alberto, Gran, Marino, Janelidze, George

论文摘要

该论文致力于一种“非常非亚伯利亚”的光谱类别。在类别上的强烈条件下,$ \ mathcal {x} $,我们证明,对于给定的忠实本地化$ \ MATHCAL {C} \ to \ MATHCAL {x} $ $ \ MATHRM {spec}(\ Mathcal {C})\ sim \ Mathcal {X} \ sim(\ Mathrm {category \,\,of \,\,\,\,\,in Injementive \,\,\,\,\,objects \,object \,\,\,\,\,\ in}注射信封。

The paper is devoted to a kind of `very non-abelian' spectral categories. Under strong conditions on a category $\mathcal{X}$, we prove, among other things, that, for a given faithful localization $\mathcal{C}\to\mathcal{X}$, we have canonical equivalences $\mathrm{Spec}(\mathcal{C})\sim\mathcal{X}\sim(\mathrm{Category\,\,of\,\,injective\,\,objects\,\,in}\,\, \mathcal{C})$, and that $\mathcal{C}$ has natural injective envelopes.

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