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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

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

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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.

 

The differential closure of a differential field
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by Gerald E. Sacks PDF
Bull. Amer. Math. Soc. 78 (1972), 629-634
References
  • R. L. Vaught, Denumerable models of complete theories, Infinitistic Methods (Proc. Sympos. Foundations of Math., Warsaw, 1959), Pergamon, Oxford; Państwowe Wydawnictwo Naukowe, Warsaw, 1961, pp. 303–321. MR 0186552
  • Michael Morley, Categoricity in power, Trans. Amer. Math. Soc. 114 (1965), 514–538. MR 175782, DOI 10.1090/S0002-9947-1965-0175782-0
  • 3. L. Blum, Ph.D. Thesis, M.I.T., Cambridge, Mass., 1968.
  • Irving Kaplansky, Maximal fields with valuations, Duke Math. J. 9 (1942), 303–321. MR 6161
  • Abraham Robinson, Problems and methods of model theory, Aspects of Math. Logic (C.I.M.E., Varenna, 1968) Edizioni Cremonese, Rome, 1969, pp. 181–266. MR 0260584
  • Ju. L. Eršov, On elementary theory of maximal normalized fields, Algebra i Logika Sem. 4 (1965), no. 3, 31–70 (Russian). MR 0193086
  • A. Seidenberg, An elimination theory for differential algebra, Univ. California Publ. Math. (N.S.) 3 (1956), 31–65. MR 82487
  • Gerald E. Sacks, Saturated model theory, Mathematics Lecture Note Series, W. A. Benjamin, Inc., Reading, Mass., 1972. MR 0398817
  • 9. S. Shelah, Uniqueness and characterization of prime models over sets, J. Symbolic Logic (to appear). 10. L. Harrington, Ph.D. Thesis, M.I.T., Cambridge, Mass., 1973. 11. C. Wood, Ph.D. Thesis, Yale University, New Haven, Conn., 1971.
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 78 (1972), 629-634
  • MSC (1970): Primary 02H15; Secondary 12H05
  • DOI: https://doi.org/10.1090/S0002-9904-1972-12969-0
  • MathSciNet review: 0299466