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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Model complete theories with a distinguished substructure
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by Alan H. Mekler PDF
Proc. Amer. Math. Soc. 75 (1979), 294-299 Request permission

Abstract:

The properties of a structure of “infinite dimension” over a substructure are investigated.
References
  • Moshe Jarden, Algebraically closed fields with distinguished subfields, Arch. Math. (Basel) 27 (1976), no. 5, 502–505. MR 424558, DOI 10.1007/BF01224708
  • H. Jerome Keisler, Complete theories of algebraically closed fields with distinguished subfields, Michigan Math. J. 11 (1964), 71–81. MR 179080
  • Angus Macintyre, Dense embeddings. I. A theorem of Robinson in a general setting, Model theory and algebra (A memorial tribute to Abraham Robinson), Lecture Notes in Math., Vol. 498, Springer, Berlin, 1975, pp. 200–219. MR 0406788
  • A. Robinson, Solution of a problem of Tarski, Fund. Math. 47 (1959), 179–204. MR 112841, DOI 10.4064/fm-47-2-179-204
  • Gerald E. Sacks, Saturated model theory, Mathematics Lecture Note Series, W. A. Benjamin, Inc., Reading, Mass., 1972. MR 0398817
  • Alfred Tarski, A Decision Method for Elementary Algebra and Geometry, The Rand Corporation, Santa Monica, Calif., 1948. MR 0028796
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Additional Information
  • © Copyright 1979 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 75 (1979), 294-299
  • MSC: Primary 03C60
  • DOI: https://doi.org/10.1090/S0002-9939-1979-0532154-X
  • MathSciNet review: 532154