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Ideals of integers in nonstandard number fields

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Part of the Lecture Notes in Mathematics book series (LNM,volume 498)

Keywords

  • Prime Ideal
  • Maximal Ideal
  • Number Field
  • Residue Field
  • Algebraic Integer

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References

  1. J. Robinson, “The undecidability of algebraic rings and fields,” PAMS 10, pp. 950–956 (1959).

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  2. J. Ax, “The elementary theory of finite fields,” Ann. Math. 88, pp. 239–271 (1968).

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  3. G. Cherlin and J. Hirschfeld, “Ultrafilters and ultraproducts in non-standard analysis,” in Contributions to Nonstandard Analysis, Luxemburg and Robinson, eds., North Holland (1972).

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  4. S. Kochen, “The model theory of local fields,” lecture notes from Kiel (1974), to appear in the series Lecture Notes in Mathematics, Springer Verlag.

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© 1975 Springer-Verlag

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Cherlin, G.L. (1975). Ideals of integers in nonstandard number fields. In: Saracino, D.H., Weispfenning, V.B. (eds) Model Theory and Algebra. Lecture Notes in Mathematics, vol 498. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080975

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  • DOI: https://doi.org/10.1007/BFb0080975

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07538-7

  • Online ISBN: 978-3-540-38057-3

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