The root closure of a ring of mixed characteristic

Abstract

We define a closure operation for rings of mixed characteristic and verify that the closure is a ring. We then show that this closure produces a ring with good properties with respect to its Fontaine ring and give an example to show that rings that are not closed in this sense do not satisfy these properties.

References in corpus (1)

• Foundations for almost ring theory -- Release 7.5

Cited by in corpus (1)

• Almost Cohen-Macaulay algebras in mixed characteristic via Fontaine rings