An alternative to Witt vectors

2013/11/12 by Joachim Cuntz, Cuntz, Joachim, Christopher Deninger +1
Mathematics · #13F35 #13J10 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1311.2774

openalex publication_date 2013/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The ring of Witt vectors associated to a ring R is a classical tool in algebra. We introduce a ring C(R) which is more easily constructed and which is isomorphic to the ring of Witt vectors W(R) for a perfect F_p-algebra R. It is obtained as the completion of the monoid ring ZR, for the multiplicative monoid R, with respect to the powers of the kernel of the natural map from ZR to R.

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