On the monomorphism category of large modules
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909573961482240 |
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| author | Hafezi, Rasool Asadollahi, Javad Vahed, Razieh Zhang, Yi |
| author_facet | Hafezi, Rasool Asadollahi, Javad Vahed, Razieh Zhang, Yi |
| contents | Let $R$ be an associative ring with identity. This paper investigates the structure of the monomorphism category of large $R$-modules and establishes connections with the category of contravariant functors defined on finitely presented $R$-modules. Several equivalences and dualities will be presented. Our results highlight the role of pure-injective modules in studying the homological properties of functor categories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_07662 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the monomorphism category of large modules Hafezi, Rasool Asadollahi, Javad Vahed, Razieh Zhang, Yi Representation Theory 18A25, 16G70, 16D90 Let $R$ be an associative ring with identity. This paper investigates the structure of the monomorphism category of large $R$-modules and establishes connections with the category of contravariant functors defined on finitely presented $R$-modules. Several equivalences and dualities will be presented. Our results highlight the role of pure-injective modules in studying the homological properties of functor categories. |
| title | On the monomorphism category of large modules |
| topic | Representation Theory 18A25, 16G70, 16D90 |
| url | https://arxiv.org/abs/2504.07662 |