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math.LO2020
Non-definability of rings of integers in most algebraic fields
Philip Dittmann, Arno Fehm
We show that the set of algebraic extensions of in which or the ring of integers are definable is meager in the set of all algebraic e…
math.LO2018
Defining Subrings in Finitely Generated Fields of All Characteristics
Philip Dittmann
We give a construction of a large first-order definable family of subrings of finitely generated fields of any characteristic. We deduce that for any such there exists a fi…