An alternative to Witt vectors
Number Theory
2013-12-19 v2 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.1311.2774,
title = {An alternative to Witt vectors},
author = {Joachim Cuntz and Christopher Deninger},
journal= {arXiv preprint arXiv:1311.2774},
year = {2013}
}
Comments
slightly expanded introduction, proposition 4 added which gives a simple description of C(R) as an additive group