Prof. Paola D’Aquino, from Università degli Studi della Campania “Luigi Vanviltelli”, will give a seminar on Monday 17 April 2023 at 14:45 in Sala Riunioni, DipMat.

Title: *A Feferman Vaught theorem for products of commutative unital rings*.

Abstract: We axiomatize the class of commutative unital rings which are elementarily equivalent to a non trivial product of commutative unital connected rings, obtaining in this way a converse of the classical result of Feferman and Vaught for the class of these rings. This is used in the model theoretic analysis of the rings M/nM where M is a model of Peano Arithmetic.