# On hearts which are module categories

@article{Parra2014OnHW,
title={On hearts which are module categories},
author={Carlos E. Parra and M. Saor{\'i}n},
journal={arXiv: Representation Theory},
year={2014}
}
• 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
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