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math.LO2023★ 4 cited
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…
math.GR2023
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…
math.LO2023
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