A Feferman Vaught theorem for products of commutative unital rings – Paola D’Aquino (Università degli studi della Campania “Luigi Vanvitelli”)


Dipartimento di Matematica, Aula seminari.


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. 

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