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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.11168 |
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| _version_ | 1866910370538455040 |
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| author | Ebrahimi, Ramin Nasr-Isfahani, Alireza |
| author_facet | Ebrahimi, Ramin Nasr-Isfahani, Alireza |
| contents | Let $Λ$ be a finite dimensional algebra. In this paper we show that there is a natural bijection between cosilting modules in Mod$Λ$ and semibricks in Mod$Λ$ satisfying some condition. Also this bijection restricts to a bijection between all semibricks in mod$Λ$ and a certain subclass of cosilting modules. These bijections are generalizations of Asai's correspondence [7] between support $τ^-$-tilting modules and right finite semibricks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_11168 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Semibrick-cosilting correspondence Ebrahimi, Ramin Nasr-Isfahani, Alireza Representation Theory Rings and Algebras 18E10, 18E20, 18E99 Let $Λ$ be a finite dimensional algebra. In this paper we show that there is a natural bijection between cosilting modules in Mod$Λ$ and semibricks in Mod$Λ$ satisfying some condition. Also this bijection restricts to a bijection between all semibricks in mod$Λ$ and a certain subclass of cosilting modules. These bijections are generalizations of Asai's correspondence [7] between support $τ^-$-tilting modules and right finite semibricks. |
| title | Semibrick-cosilting correspondence |
| topic | Representation Theory Rings and Algebras 18E10, 18E20, 18E99 |
| url | https://arxiv.org/abs/2403.11168 |