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Model completeness of finitely ramified henselian valued fields with various value groups – Anna De Mase (Università della Campania “Luigi Vanvitelli”)

A result obtained by A. Macintyre and J. Derakhshan states that the theory of a mixed characteristic henselian valued field with finite ramification, perfect residue field and whose value group is a Z-group, is model complete in the language of…

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

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…

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