Abstract:
Witt vectors for Durov's generalized rings are constructed. The ring of Witt vectors for the field with one element is calculated. A criterion for the projectivity of modules over the residue field at archimedian point is given. This residue field is compared with the semiring of characteristic 1 in a construction of Connes and Consani.
Key words and phrases:vector, Witt, field with one element, Durov, dynamical system, characteristic 1.
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