Fri, 03 Mar 2017
14:30
14:30
C5
Ultraproducts and Spec (^Z)
Paola D'Aquino
(Naples)
Abstract
We give a description of the spectra of $\hat{\mathbb Z}$ and of the
finite adeles using ultraproducts. In describing the prime ideals and the
localizations, ultrapowers of the group $\mathbb Z$ and ultraproducts of
rings of $p$-adic integers are used.