4 citations · 9 across the 11 of their papers we have counts for
11 papers
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…
Exponential Fields: Lack of Generic Derivations
Fornasiero Antongiulio, Giuseppina Terzo
We investigate the existence of "generic derivations" in exponential fields. We show that exponential fields without additional compatibility conditions between derivation and expo…
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…
Assemblies as Semigroups
Ulderico Dardano, Bruno Dinis, Giuseppina Terzo
In this paper we give an algebraic characterization of assemblies in terms of bands of groups. We also consider substructures and homomorphisms of assemblies. We give many examples…
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
E-ideals in exponential polynomial ring
P. D'Aquino, A. Fornasiero, G. Terzo
We investigate exponential ideals within the context of exponential polynomial rings over exponential fields. We establish two distinct notions of maximality for exponential ideals…
A weak version of the Strong Exponential Closure
Paola D'Aquino, Antongiulio Fornasiero, Giuseppina Terzo
Assuming Schanuel's Conjecture we prove that for any variety V over the algebraic closure over the rational numbers, of dimension n and with dominant projections, there exists a ge…
Generic solutions of equations with iterated exponentials
P. D'Aquino, A. Fornasiero, G. Terzo
We study solutions of exponential polynomials over the complex field. Assuming Schanuel's conjecture we prove that certain polynomials have generic solutions in the complex field.
On the o-minimal Hilbert's fifth problem
Mario J. Edmundo, Marcello Mamino, Luca Prelli +2
Let be an arbitrary o-minimal structure. Let be a definably compact definably connected abelian definable group of dimension . Here we compute the new the intr…
From Schanuel's Conjecture to Shapiro's Conjecture
P. D'Aquino, A. Macintyre, G. Terzo
In this paper we prove Shapiro's 1958 Conjecture on exponential polynomials, assuming Schanuel's Conjecture.
A theorem of complete reducibility for exponential polynomials
P. D'Aquino, G. Terzo
In this paper we give a factorization theorem for the ring of exponential polynomials in many variables over an algebraically closed field of characteristic 0 with an exponentiatio…