Paola D'Aquino (Campania )

Frank Adams 1,

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 of \( \hat{\mathbb{Z}}\) , ultrapowers of the group \(\mathbb{Z}\) and ultraproducts of the rings of p-adic integers are used (joint work with A. Macintyre and M. Otero.)

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