Resumen de Simple objects in the heart of a t-structure

Salah Al-Nofayee

• We give some conditions for objects X0,�,Xr to be what we call a �cohomologically Schurian set of generators� for the bounded derived category Db(?-mod) of a finite-dimensional algebra ?. For any such set of generators, we construct a t-structure on Db(?-mod), which has these objects as its simple objects. If ? is self-injective, we prove that the heart of this t-structure is equivalent to a module category. To prove this fact we prove that the heart has an injective cogenerator.