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arXiv · 2301.01765

Some ring-theoretic properties of rings via Frobenius and monoidal maps

Kazufumi Eto·Jun Horiuchi·Kazuma Shimomoto
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Abstract

The purpose of this note is to relate certain ring-theoretic properties of rings in mixed and positive characteristics that are related to each other by a tilting operation used in perfectoid geometry. To this aim, we exploit the multiplicative structure of the ``monoidal map", which is constructed on arbitrary $p$-adically complete rings.

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Kazufumi Eto, Jun Horiuchi, Kazuma Shimomoto. 2023-01-04. Some ring-theoretic properties of rings via Frobenius and monoidal maps. https://doi.org/10.3836/tjm%2F1502179405

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