Simples in a cotilting heart
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...
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| Veröffentlicht in: | Mathematische Zeitschrift 2024-05, Vol.307 (1), Article 12 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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. |
|---|---|
| ISSN: | 0025-5874 1432-1823 |
| DOI: | 10.1007/s00209-024-03464-1 |