Simples in a cotilting heart
Lidia Angeleri H\"ugel, Ivo Herzog, Rosanna Laking

TL;DR
This paper characterizes simple objects and their injective envelopes in the hearts of t-structures induced by cotilting modules over rings, integrating torsion theory, model theory, and Auslander-Reiten theory.
Contribution
It provides a detailed description of simple objects in the Grothendieck hearts associated with cotilting modules, combining multiple theoretical frameworks.
Findings
Identifies simple objects in the heart of the t-structure
Determines injective envelopes of these simple objects
Links torsion theory with model theory and Auslander-Reiten theory
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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Taxonomy
TopicsAlgebraic structures and combinatorial models · Rings, Modules, and Algebras · Advanced Topics in Algebra
