5 papers · 1 filter
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…
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…
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…
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.…
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…