Wide Subcategories in Abelian Categories

Abstract

In this paper, we define the spectrum of an abelian category with respect to a class of wide subcategories. We introduce the notion of support of wide subcategories, and then give a classification of radical wide subcategories of an abelian category using it. We also introduce the notion of prime wide subcategories and give a homeomorphism from a topological space to the prime spectrum space using a notion of classifying support data.

Keywords

Abelian categories / wide subcategories / support / radical / prime / 18E10 / 18E40 / 18F60

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RIGHTS & PERMISSIONS

Peking University