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Elementary theory of abelian groups without trosion, with a predicate selecting a subgroup. (English. Russian original) Zbl 0214.01503
Algebra Logic 8(1969), 182-190 (1971); translation from Algebra Logika 8, 320-334 (1969).

MSC:
20A15 Applications of logic to group theory
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References:
[1] A. Robinson, Introduction to the Theory of Models and Metamathematical Algebra [Russian translation], Moscow (1967).
[2] M. I. Kargapolov, ”The elementary theory of Abelian groups,” Algebra i Logika,1, No. 6, 26–36 (1963).
[3] Yu. L. Ershov, I. A. Lavrov, A. D. Taimanov, and M. A. Taitslin, ”Elementary theory,” Ukrainsk. Matem. Zh.,20, No. 4 (124), 37–108 (1965).
[4] A. G. Kurosh, The Theory of Groups [in Russian], Moscow (1967). · Zbl 0189.30801
[5] A. I. Kokorin and N. G. Khisamiev, ”The elementary classification of structurally ordered Abelian groups with a finite number of threads,” Algebra i Logika,5, No. 1, 41–50 (1966).
[6] A. I. Kokorin and G. T. Kozlov, ”The extension of elementary and universal theory of lattice ordered Abelian groups with a finite number of threads,” Algebra i Logika,7, No. 1, 91–103 (1968).
[7] A. Robinson, ”Completeness and persistence in the theory of models,” Z. Math. Log. Grund. Math.,2, 15–26 (1956). · Zbl 0075.23203
[8] W. Szmielew, ”Elementary properties of Abelian groups,” Fund. Math.,41, No. 2, 201–271 (1955). · Zbl 0064.00803
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