vix.ing · top · new · best · stats · spec

The root closure of a ring of mixed characteristic

2008/10/01 by Paul Roberts, Paul C. Roberts, Roberts, Paul C. · 1 citation
Mathematics · #13B22 #13K05 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras #math.AC #msc:13B22 #msc:13K05

paper · pdf · doi:10.48550/arxiv.0810.0215

arxiv created 2008/10/01 · openalex publication_date 2008/10/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

Cited by

Related