### Christopher Deninger

Universität Münster, Germany### Anton Mellit

Universität Wien, Austria

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## Abstract

Using $\lambda$ operations, we give some results on the kernel of the natural map from the monoid algebra $\mathbb ZR$ of a commutative ring $R$ to the ring of $S$-Witt vectors of $R$. As a byproduct we obtain a very natural interpretation of a power series used by Dwork in his proof of the rationality of zeta functions for varieties over finite fields.

## Cite this article

Christopher Deninger, Anton Mellit, $\mathbb ZR$ and rings of Witt vectors $W_S(R)$. Rend. Sem. Mat. Univ. Padova 142 (2019), pp. 93–102

DOI 10.4171/RSMUP/32