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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. Cherlin, Model-theoretic algebra, J. Symbolic Logic 41 (1976), 537-545. MR 411961
  • 3. P. Eklof, Ultraproducts for algebraists, Handbook of Mathematical Logic, North-Holland, Amsterdam, 1977.
  • 4. J. Hirschfeld and W. Wheeler, Forcing, arithmetic, division rings, Lecture Notes in Math., vol. 454, Springer-Verlag, Berlin and New York, 1975. MR 52 # 10412. MR 389581
  • 5. S. Kochen, The model theory of local fields, Logic Conf. (Kiel, 1974), Lecture Notes in Math., vol. 499, Springer-Verlag, Berlin and New York, 1975. MR 568318
  • 6. Handbook of mathematical logic, Studies in Logic and the Foundations of Mathematics, vol. 90, North-Holland Publishing Co., Amsterdam, 1977. With the cooperation of H. J. Keisler, K. Kunen, Y. N. Moschovakis and A. S. Troelstra. MR 457132
  • 7. A. Robinson, Introduction to model theory and to the metamathematics of algebra, North-Holland, Amsterdam, 1963. MR 27 #3533. MR 153570
  • 8. A. Robinson, On the notion of algebraic closedness for noncommutative groups and fields, J. Symbolic Logic 36 (1971), 441-444. MR 45 #43. MR 290949
  • 9. A. Robinson, Model theory as a framework for algebra, Studies in Model Theory, MAA Studies in Math., vol. 8, Buffalo, N.Y., pp. 134-157, 1973. MR 49 #2365. MR 337596
  • 10. G. Sacks, Saturated model theory, Benjamin, New York, 1972. MR 398817
  • 11. S. Shelah, The lazy model-theoretician's guide to stability, Proc. Louvain Model Theory Conf., Logique et Analyse, No. 71-72 (1975).
  • 12. C. Wood, The model theory of differential fields revisited, Israel J. Math. 25 (1976), 331-352. MR 457199

Review Information:

Reviewer: Paul C. Eklof
Journal: Bull. Amer. Math. Soc. 83 (1977), 954-958
DOI: https://doi.org/10.1090/S0002-9904-1977-14333-4
American Mathematical Society