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

Autor: Eto, Kazufumi, Horiuchi, Jun, Shimomoto, Kazuma
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: to appear in Tokyo Journal of Mathematics
Databáze: arXiv