On the Auslander–Reiten theory for extended hearts of proper connective dg algebras
Abstract
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.
Fields of Study & Subjects
Algebraic structures and combinatorial models
Homotopy and Cohomology in Algebraic Topology
Advanced Operator Algebra Research
Publication details
- Journal / source
- Bulletin of the London Mathematical Society
- Volume
- 58
- Issue
- 7
- Publication date
- 19 June 2026
- Language
- EN