Literature Cited
T.-Y. Lam, “The theory of ordered fields,” in: Ring Theory and Algebra. III, Dekker, New York-Basel (1980).
R. Elman, T.-Y. Lam, and A. Wadsworth, “Orderings under field extensions,” J. Reine Angew. Math.,306 (1979).
Yu. L. Ershov, “Regularly r-closed fields,” Algebra Logika,22, No. 4, 382–402 (1983).
Yu. L. Ershov, Realizable i-Groups. Some Problems of Analysis and Algebra [in Russian], Novosibirsk State Univ. (1985), pp. 46–60.
T. Craven, “The Boolean space of orderings of a field,” Trans. Am. Math. Soc.,209, 225–235 (1975).
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.
A. Prestel, “Pseudo real closed fields,” Lect. Notes Math.,872, 127–156 (1981).
Yu. L. Ershov, “On the number of linear orderings on a field,” Mat. Zametki,6, No. 2, 201–211 (1969).
Yu. L. Ershov, “On the Galois groups of maximal 2-extensions,” Mat. Zametki,36, No. 6, 931–941 (1984).
Additional information
Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 27, No. 2, pp. 47–54, March–April, 1986.
Rights 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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00969384