Simples in a cotilting heart

Author:

Angeleri Hügel Lidia,Herzog Ivo,Laking Rosanna

Abstract

AbstractEvery 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.

Funder

Università degli Studi di Verona

Publisher

Springer Science and Business Media LLC

Reference45 articles.

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4. Angeleri Hügel, L., Hrbek, M.: Parametrizing torsion pairs in derived categories. Represent. Theory 25, 679–731 (2021)

5. Angeleri Hügel, L., Laking, R., Sentieri, F.: Mutation of torsion pairs for finite-dimensional algebras. In preparation (2022)

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