DOI: 10.1112/blms.70413 ISSN: 0024-6093
On the Auslander–Reiten theory for extended hearts of proper connective dg algebras
Nao Mochizuki, Marvin PlogmannAbstract
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.