Work

On the Auslander–Reiten theory for extended hearts of proper connective dg algebras

Year: 2026

Type: article

Abstract: We prove that, for a proper connective dg algebra with cohomology concentrated in degrees between and 0, the extended heart is an extriangulated category with almost‐split conflations. We also prove a version of the first Brauer–Thrall conjecture in this context.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.70413

Authors: Nao Mochizuki, Marvin Plogmann

Institutions: Nagoya University, University of Cologne

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

Funders: Vetenskapsrådet, Japan Science and Technology Agency