Auslander-Reiten-Serre duality and almost-split conflations are established for extended hearts of proper connective dg algebras, together with a first Brauer-Thrall finiteness theorem.
Extriangulated categories, Hovey twin cotorsion pairs and model structures
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On the Auslander--Reiten Theory for Extended Hearts of Proper Connective DG Algebras
Auslander-Reiten-Serre duality and almost-split conflations are established for extended hearts of proper connective dg algebras, together with a first Brauer-Thrall finiteness theorem.