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On ideal theory in high prufer domains

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References

  1. ARNOLD, J.T., GILMER, R.: Idempotent ideals and unions of nets of Prüfer domains. J. Sci. Hiroshima Univ. Ser. A-I 3 131–145 (1967).

    Google Scholar 

  2. BOREVICH, Z.I., SHAFAREVICH, I.R.: Number Theory, Academic Press, New York and London.

  3. CASSELS, J.W.S.: Diophantine equations with special reference to elliptic curves. Journal of the London Math. Soc. Vol. 41, 193–291 (1966).

    Google Scholar 

  4. CASSELS, J.W.S., and FRÖHLICH, A.: Algebraic Number Theory. Academic Press, London-New York.

  5. CHEVALLEY, C.: Introduction to the theory of algebraic functions of one variable. A.M.S. (1951).

  6. EILENBERG, S., and STEENORD, N.: Foundation of algebraic topology. Princeton, (1952).

  7. FREY, G.: Pseudo algebraically closed fields with nonarchimedean real valuations, Journal of Algebra. Vol. 26, 202–207 (1973).

    Google Scholar 

  8. GILMER, R.W.: Multiplicative ideal theory. Queens University, Kingston (1968).

    Google Scholar 

  9. GILMER, R., and OHM, J.: Primary ideals and valuation ideals. Trans. Amer. Math. Soc. 7, 237–250 (1965).

    Google Scholar 

  10. JARDEN, M.: Elementary statements over large algebraic fields. Trans. of the A.M.S. Vol. 64, 67–91 (1972).

    Google Scholar 

  11. JARDEN, M.: Roots of unity over large algebraic fields. To be published in. Math. Ann.

  12. KAPLANSKY, I.: Commutative rings. Allyn and Bacon Inc. Boston (1970).

    Google Scholar 

  13. KRULL, W.: Idealtheorie in unendlichen algebraischen Zahlkörpern II, Mathematische Zeitschrift 31 (1930).

  14. LANG, S.: Diophantine Geometry. Interscience Publishers, New York-London (1962).

    Google Scholar 

  15. Lutz, E.: Sur l'equation y2=x3−Ax−B dans les corps p-adic; J. reine angew. Math., 177, 237–247 (1937).

    Google Scholar 

  16. ZIMMER, H.G.: Ein Analogon des Satzes von Nagell-Lutz über die Torsion einer elliptischen Kurve. To appear in Journal f. reine und angew. Math.

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  1. Department of Mathematical Sciences, Tel Aviv University, Tel Aviv, Israel

    Moshe Jarden

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  1. Moshe Jarden
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This work was carried out whilst the author was working at Heidelberg University.

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Jarden, M. On ideal theory in high prufer domains. Manuscripta Math 14, 303–336 (1975). https://doi.org/10.1007/BF01169264

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  • DOI: https://doi.org/10.1007/BF01169264

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