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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…
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