2025/03/25 by Muñoz--Bertrand, Rubén
#Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.2503.20115
We give equivalences between given properties of a commutative ring, and other properties on its ring of Witt vectors. Amongst them, we characterise all commutative rings whose rings of Witt vectors are Noetherian. We define a new category of commutative rings called preduced rings, and explain how it is the category of rings whose ring of Witt vectors has no p-torsion. We then extend this characterisation to the torsion of the de Rham-Witt complex.