Simples in a cotilting heart

Published 24 May 2022 in math.RT, math.CT, and math.RA | (2205.11883v2)

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.

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