On the Auslander–Reiten theory for extended hearts of proper connective dg algebras
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.
Authors
- Nao Mochizuki
- Marvin Plogmann
Institutions
- University of Cologne (DE)
- Nagoya University (JP)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2026-06-19
- DOI
- https://doi.org/10.1112/blms.70413
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Vetenskapsrådet
- Japan Science and Technology Agency