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Each regular number structure is biregular

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An Erratum to this article was published on 01 March 1977

Abstract

Roughly speaking we show that for certain number structures ℋ, ℬ with ℬ ⊆ ℋ, if ℬ is bounded above in ℋ then ℬ is bounded below in ℋ.

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References

  1. D. C. Goldrei, A. Macintyre and H. Simmons,The forcing companions of number theories, Israel J. Math.14 (1973), 317–337.

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  2. J. Hirschfeld,Existentially complete and generic structures in arithmetic, Doctoral Dissertation, University of Yale, 1972.

  3. J. Hirschfeld and W. H. Wheeler,Forcing, Arithmetic, Division Rings, Springer Lecture notes in Mathematics, vol. 454.

  4. A. Macintyre and H. Simmons,Algebraic properties of number theories, Israel J. Math.22 (1975), 7–27.

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Authors and Affiliations

  1. Department of Mathematics, University of Aberdeen, Scotland

    H. Simmons

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  1. H. Simmons
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An erratum to this article is available at http://dx.doi.org/10.1007/BF03007660.

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Simmons, H. Each regular number structure is biregular. Israel J. Math. 23, 347–352 (1976). https://doi.org/10.1007/BF02761813

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  • DOI: https://doi.org/10.1007/BF02761813

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