Some ring-theoretic properties of rings via Frobenius and monoidal maps
arXiv:2301.01765 · doi:10.3836/tjm/1502179405
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 -adically complete rings.
to appear in Tokyo Journal of Mathematics