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arXiv · 2510.00848

Closed exact categories of modules over generalized adic rings. Part 1: The bounded case

Francesco Baldassarri
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Abstract

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.

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Francesco Baldassarri. 2025-10-01. Closed exact categories of modules over generalized adic rings. Part 1: The bounded case. https://arxiv.org/abs/2510.00848

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