References
C. Chang, J. Keisler.Model Theory, North Holland Publishing Co., Amsterdam, 1973.
J. T. Baldwin, A. Blass, A. Glass, D. Kueker. “A natural theory without a prime model,” Alg. Univ. 3, 1973, pp. 152–155.
P. Eklof, E. Fisher, “The elementary theory of abelian groups,” Ann. Math. Logic 4, 1972.
P. Eklof. “Some model theory of abelian groups,” Jour. Symb. Logic 37, 1972, pp. 335–342.
L. Fuchs.Infinite Abelian Groups I, Academic Press, New York, 1970.
L. Fuchs.Infinite Abelian Groups II, Academic Press, New York, 1973.
L. Marcus. “Minimal models of theories of one function symbol,” Isr. Jour. Math. 18, 1974, pp. 117–131.
L. Prochàzka. “A generalization of a theorem of R. Baer,” Comment. Math. Univ. Carolinae 4, 1963, pp. 105–108.
W. Szmielew. “Elementary properties of abelian groups,” Fund. Math.41, 1955, pp. 203–271.
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This paper was written while the author held a fellowship of the Max-Kade-Foundation at the University of California, Berkeley.
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Deissler, R. Minimal and prime models of complete theories of torsion free abelian groups. Algebra Universalis 9, 250–265 (1979). https://doi.org/10.1007/BF02488037
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DOI: https://doi.org/10.1007/BF02488037