REAL

On a sequence of Grothendieck groups

Gyenge, Ádám (2025) On a sequence of Grothendieck groups. Homology, Homotopy and Applications, 27 (2).

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Abstract

We show that a well-known exact sequence in K-theory for quotients of triangulated categories descends to numerical K-groups provided that the category, the quotient and the category we take the quotient with has a numerical K-group, and if either the quotient functor preserves compactness or the K-group of the quotient is torsion-free.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika > QA72 Algebra / algebra
Q Science / természettudomány > QA Mathematics / matematika > QA73 Geometry / geometria
Depositing User: Ádám Gyenge
Date Deposited: 25 Sep 2026 17:39
Last Modified: 25 Sep 2026 17:39
URI: https://real.mtak.hu/id/eprint/247732

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