Skip to main content
Log in

Mapping a restriction of spaces of orderings of fields

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature Cited

  1. T.-Y. Lam, “The theory of ordered fields,” in: Ring Theory and Algebra. III, Dekker, New York-Basel (1980).

    Google Scholar 

  2. R. Elman, T.-Y. Lam, and A. Wadsworth, “Orderings under field extensions,” J. Reine Angew. Math.,306 (1979).

  3. Yu. L. Ershov, “Regularly r-closed fields,” Algebra Logika,22, No. 4, 382–402 (1983).

    Google Scholar 

  4. Yu. L. Ershov, Realizable i-Groups. Some Problems of Analysis and Algebra [in Russian], Novosibirsk State Univ. (1985), pp. 46–60.

  5. T. Craven, “The Boolean space of orderings of a field,” Trans. Am. Math. Soc.,209, 225–235 (1975).

    Google Scholar 

  6. Yu. L. Ershov, “Algorithmic problems in the theory of fields (positive aspects),” in: Reference Book for Mathematical Logic [in Russian], Part 3, Nauka, Moscow (1982), pp. 269–353.

    Google Scholar 

  7. A. Prestel, “Pseudo real closed fields,” Lect. Notes Math.,872, 127–156 (1981).

    Google Scholar 

  8. Yu. L. Ershov, “On the number of linear orderings on a field,” Mat. Zametki,6, No. 2, 201–211 (1969).

    Google Scholar 

  9. Yu. L. Ershov, “On the Galois groups of maximal 2-extensions,” Mat. Zametki,36, No. 6, 931–941 (1984).

    Google Scholar 

Download references

Authors

Additional information

Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 27, No. 2, pp. 47–54, March–April, 1986.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ershov, Y.L. Mapping a restriction of spaces of orderings of fields. Sib Math J 27, 181–187 (1986). https://doi.org/10.1007/BF00969384

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00969384

Navigation