Closed exact categories of modules over generalized adic rings. Part 1: The bounded case
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912991473041408 |
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| author | Baldassarri, Francesco |
| author_facet | Baldassarri, Francesco |
| contents | We develop general foundations of topological algebra over a linearly topologized ring k in a format applicable to both formal schemes and analytic adic spaces. We are especially interested in determining exact closed tensor categories of complete linearly topologized k-modules, with enough projectives or injectives. For k a widely generalized adic ring, we describe here a few examples of such categories consisting of bounded modules. The application to the construction of quasi-coherent modules over formal schemes will be given elsewhere. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_00848 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Closed exact categories of modules over generalized adic rings. Part 1: The bounded case Baldassarri, Francesco Number Theory We develop general foundations of topological algebra over a linearly topologized ring k in a format applicable to both formal schemes and analytic adic spaces. We are especially interested in determining exact closed tensor categories of complete linearly topologized k-modules, with enough projectives or injectives. For k a widely generalized adic ring, we describe here a few examples of such categories consisting of bounded modules. The application to the construction of quasi-coherent modules over formal schemes will be given elsewhere. |
| title | Closed exact categories of modules over generalized adic rings. Part 1: The bounded case |
| topic | Number Theory |
| url | https://arxiv.org/abs/2510.00848 |