Cotilting invariance of the Auslander-Reiten conjecture
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866912504825774080 |
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| author | Divaani-Aazar, Kamran Fallah, Ali Mahin Tousi, Massoud |
| author_facet | Divaani-Aazar, Kamran Fallah, Ali Mahin Tousi, Massoud |
| contents | Let R be an associative ring with identity, and let T be a tilting right R-module, with S=End(T). It is known that if R is a Noetherian algebra that satisfies the Auslander-Reiten conjecture, then so is S. In this paper, we consider the dual situation where C is a cotilting right R-module, with S=End(C). We investigate the invariance of the property of satisfying the Auslander-Reiten conjecture when passing from R to S. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_20458 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cotilting invariance of the Auslander-Reiten conjecture Divaani-Aazar, Kamran Fallah, Ali Mahin Tousi, Massoud Representation Theory 16Gxx, 16D20, 16Exx, 16E30 Let R be an associative ring with identity, and let T be a tilting right R-module, with S=End(T). It is known that if R is a Noetherian algebra that satisfies the Auslander-Reiten conjecture, then so is S. In this paper, we consider the dual situation where C is a cotilting right R-module, with S=End(C). We investigate the invariance of the property of satisfying the Auslander-Reiten conjecture when passing from R to S. |
| title | Cotilting invariance of the Auslander-Reiten conjecture |
| topic | Representation Theory 16Gxx, 16D20, 16Exx, 16E30 |
| url | https://arxiv.org/abs/2507.20458 |