3 papers
math.LO2025
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…
math.LO2025
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…
math.LO2024
Products of pseudofinite structures
Paola D'Aquino, Angus Macintyre
We prove that any product of a family of pseudofinite structures is pseudofinite. The main tools are the fundamental results on products of first order structures due to Feferman a…