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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Book Information:

Author: Greg Cherlin
Title: Model theoretic algebra: Selected topics
Additional book information: Lecture Notes in Mathematics, vol. 521, Springer-Verlag, Berlin and New York, 1976, iv + 232 pp., $9.50.

References [Enhancements On Off] (What's this?)

  • 1. C. C. Chang and J. Keisler, Model theory, North-Holland, Amsterdam, 1973.
  • 2. G. L. Cherlin, Model theoretic algebra, J. Symbolic Logic 41 (1976), no. 2, 537–545. MR 0411961,
  • 3. P. Eklof, Ultraproducts for algebraists, Handbook of Mathematical Logic, North-Holland, Amsterdam, 1977.
  • 4. Joram Hirschfeld and William H. Wheeler, Forcing, arithmetic, division rings, Lecture Notes in Mathematics, Vol. 454, Springer-Verlag, Berlin-New York, 1975. MR 0389581
  • 5. Simon Kochen, The model theory of local fields, 1𝑥𝑠𝑦) ISILC Logic Conference (Proc. Internat. Summer Inst. and Logic Colloq., Kiel, 1974) Springer, Berlin, 1975, pp. 384–425. Lecture Notes in Math., Vol. 499. MR 0568318
  • 6. Handbook of mathematical logic, North-Holland Publishing Co., Amsterdam-New York-Oxford, 1977. Edited by Jon Barwise; With the cooperation of H. J. Keisler, K. Kunen, Y. N. Moschovakis and A. S. Troelstra; Studies in Logic and the Foundations of Mathematics, Vol. 90. MR 0457132
  • 7. Abraham Robinson, Introduction to model theory and to the metamathematics of algebra, North-Holland Publishing Co., Amsterdam, 1963. MR 0153570
  • 8. Abraham Robinson, On the notion of algebraic closedness for noncommutative groups and fields, J. Symbolic Logic 36 (1971), 441–444. MR 0290949,
  • 9. Abraham Robinson, Model theory as a framework for algebra, Studies in model theory, Math. Assoc. Amer., Buffalo, N.Y., 1973, pp. 134–157. MAA Studies in Math., Vol. 8. MR 0337596
  • 10. Gerald E. Sacks, Saturated model theory, W. A. Benjamin, Inc., Reading, Mass., 1972. Mathematics Lecture Note Series. MR 0398817
  • 11. S. Shelah, The lazy model-theoretician's guide to stability, Proc. Louvain Model Theory Conf., Logique et Analyse, No. 71-72 (1975).
  • 12. Carol Wood, The model theory of differential fields revisited, Israel J. Math. 25 (1976), no. 3-4, 331–352. MR 0457199,

Review Information:

Reviewer: Paul C. Eklof
Journal: Bull. Amer. Math. Soc. 83 (1977), 954-958