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Undecidability of regularly closed fields. (English. Russian original) Zbl 0499.03018

Algebra Logic 20, 257-260 (1982); translation from Algebra Logika 20, 389-394 (1981).

MSC:

03C65 Models of other mathematical theories
03D35 Undecidability and degrees of sets of sentences
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References:

[1] Yu. L. Ershov, Problems of Decidability and Constructive Models [in Russian], Nauka, Moscow (1980).
[2] Yu. L. Ershov, ”Regularly closed fields,” Dokl. Akad. Nauk SSSR,251, No. 4, 783–785 (1980). · Zbl 0467.03026
[3] Yu. L. Ershov, ”On profinite groups,” Algebra Logika,19, No. 5, 552–565 (1980).
[4] M. I. Kargapolov and Yu. I. Merzlyakov, Fundamentals of Group Theory [in Russian], 2nd ed., Nauka, Moscow (1977). · Zbl 0499.20001
[5] J. Ax, ”The elementary theory of finite fields,” Ann. Math.,88, 239–271 (1968). · Zbl 0195.05701 · doi:10.2307/1970573
[6] W. C. Waterhouse, ”Profinite groups are Galois groups,” Proc. Am. Math. Soc.,42, No. 2, 639–640 (1974). · Zbl 0281.20031
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