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.
Discreteness of silting objects and t-structures in triangulated categories
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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.