The paper is devoted to a kind of “very non-abelian” spectral categories. Under strong conditions on a category X, we prove, among other things, that, for a given faithful localization C ! X, we have canonical equivalences Spec.C/ ~ X ~.category of injective objects in C/, and that C has natural injective envelopes.
Unusual spectral categories
Facchini A.;
2020
Abstract
The paper is devoted to a kind of “very non-abelian” spectral categories. Under strong conditions on a category X, we prove, among other things, that, for a given faithful localization C ! X, we have canonical equivalences Spec.C/ ~ X ~.category of injective objects in C/, and that C has natural injective envelopes.
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