On the Witt vectors of perfect rings in positive characteristic

2014/04/21 by Kazuma Shimomoto, Shimomoto, Kazuma · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Rings, Modules, and Algebras

paper · doi:10.48550/arxiv.1404.5147

openalex publication_date 2014/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The purpose of this article is to prove some results on the Witt vectors of perfect F_p-algebras. Let A be a perfect F_p-algebra for a prime integer p and assume that A has the property P. Then does the ring of Witt vectors of A also have P? A main theorem gives an affirmative answer for P="integrally closed" under a very mild condition.

Citations

• Relative p-adic Hodge theory: Foundations

Cited by

• δ-rings, perfectoid towers, and lim Cohen-Macaulay sequences

Related

• An alternative to Witt vectors
• Witt vector rings and quotients of monoid algebras
• On the structure of Witt-Burnside rings attached to pro-p groups
• The Theory of Witt Vectors
• Homological aspects of perfect algebras