A CALCULATION OF THE PERFECTOIDIZATION OF SEMIPERFECTOID RINGS
A CALCULATION OF THE PERFECTOIDIZATION OF SEMIPERFECTOID RINGS
Abstract We show that perfectoidization can be (almost) calculated by using p -root closure in certain cases, including the semiperfectoid case. To do this, we focus on the universality of perfectoidizations and uniform completions, as well as the p -root closed property of integral perfectoid rings. Through this calculation, we …