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- W3092113854 abstract "We consider the structures , , , and where is the additive group of integers, is the set of such that for every prime p and corresponding p-adic valuation , and are defined likewise for rational numbers, and denotes the natural ordering on each of these domains. We prove that the second structure is model-theoretically wild while the other three structures are model-theoretically tame. Moreover, all these results can be seen as examples where number-theoretic randomness yields model-theoretic consequences." @default.
- W3092113854 created "2020-10-15" @default.
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- W3092113854 date "2020-10-05" @default.
- W3092113854 modified "2023-10-14" @default.
- W3092113854 title "THE ADDITIVE GROUPS OF ℤ AND ℚ WITH PREDICATES FOR BEING SQUARE‐FREE" @default.
- W3092113854 doi "https://doi.org/10.1017/jsl.2020.30" @default.
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