On hearts which are module categories

  title={On hearts which are module categories},
  author={Carlos E. Parra and M. Saor{\'i}n},
  journal={arXiv: Representation Theory},
  • Carlos E. Parra, M. Saorín
  • Published 2014
  • Mathematics
  • arXiv: Representation Theory
  • Given a torsion pair $\mathbf{t} = (\mathcal{T} ;\mathcal{F})$ in a module category $R$-Mod we give necessary and sufficient conditions for the associated Happel-Reiten-Smal\o $\text{ }$ t-structure in $\mathcal{D}(R)$ to have a heart $\mathcal{H}_{\mathbf{t}}$ which is a module category. We also study when such a pair is given by a 2-term complex of projective modules in the way described by Hoshino-Kato-Miyachi ([HKM]). Among other consequences, we completely identify the hereditary torsion… CONTINUE READING
    8 Citations