14 citations · 77 across the 29 of their papers we have counts for
30 papers
Geometric fields, ranks, and generic derivations
Antongiulio Fornasiero, Elliot Kaplan, Angus Matthews
In this note, we show various minimality results for a geometric theory of fields : is stable if and only if it is strongly minimal, is simple if and only if it has SU-r…
Generic derivations on algebraically bounded structures II. Model theoretical properties
Fornasiero Antongiulio, Terzo Giuseppina
Let T be an algebraically bounded theory. We consider the -expansions of T by a tuple of derivations (which may be commuting or not). We investigate the model co…
Stable reducts of elementary extensions of Presburger arithmetic
Eran Alouf, Antongiulio Fornasiero, Itay Kaplan
Suppose is elementarily equivalent to an archimedean ordered abelian group with small quotients (for all , is finite). Then every stable reduc…
Irreducibility in generalized power series
Antongiulio Fornasiero, Noa Lavi, Sonia L'Innocente +1
A classical tool in the study of real closed fields are the fields of generalized power series (i.e., formal sums with well-ordered support) with coefficients in a field $…
Generic derivations on algebraically bounded structures
Fornasiero Antongiulio, Terzo Giuseppina
Let K be an algebraically bounded structure and T be its theory. If T is model complete, then the theory of K endowed with a derivation, denoted by , has a model completion. A…
Note on radical and prime E-ideals
Antongiulio Fornasiero, Giuseppina Terzo
We show that the ring of exponential polynomials is not Noetherian even respect to prime E-ideals. Moreover we give a characterization of exponential radical ideals