Simples in a cotilting heart
Representation Theory
2024-03-21 v2 Category Theory
Rings and Algebras
Abstract
Every cotilting module over a ring R induces a t-structure with a Grothendieck heart in the derived category D(Mod R). We determine the simple objects in this heart and their injective envelopes, combining torsion-theoretic aspects with methods from the model theory of modules and Auslander-Reiten theory.
Keywords
Cite
@article{arxiv.2205.11883,
title = {Simples in a cotilting heart},
author = {Lidia Angeleri Hügel and Ivo Herzog and Rosanna Laking},
journal= {arXiv preprint arXiv:2205.11883},
year = {2024}
}
Comments
The paper will appear in Mathematische Zeitschrift