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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2205.11883 |
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| _version_ | 1866914721245954048 |
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| author | Hügel, Lidia Angeleri Herzog, Ivo Laking, Rosanna |
| author_facet | Hügel, Lidia Angeleri Herzog, Ivo Laking, Rosanna |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_11883 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Simples in a cotilting heart Hügel, Lidia Angeleri Herzog, Ivo Laking, Rosanna Representation Theory Category Theory Rings and Algebras 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. |
| title | Simples in a cotilting heart |
| topic | Representation Theory Category Theory Rings and Algebras |
| url | https://arxiv.org/abs/2205.11883 |