Simple objects in the heart of a t-structure

• Autores: Salah Al-Nofayee
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 213, Nº 1, 2009, págs. 54-59
• Idioma: inglés
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• Resumen

  • 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.