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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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An almost strongly minimal non-Desarguesian projective plane
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by John T. Baldwin PDF
Trans. Amer. Math. Soc. 342 (1994), 695-711 Request permission

Abstract:

There is an almost strongly minimal projective plane which is not Desarguesian.
References
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  • J. T. Baldwin and S. Shelah, The primal framework. I, Ann. Pure Appl. Logic 46 (1990), no. 3, 235–264. MR 1049388, DOI 10.1016/0168-0072(90)90005-M
  • C. R. J. Clapham, A. Flockhart, and J. Sheehan, Graphs without four-cycles, J. Graph Theory 13 (1989), no. 1, 29–47. MR 982865, DOI 10.1002/jgt.3190130107
  • Ehud Hrushovski, A new strongly minimal set, Ann. Pure Appl. Logic 62 (1993), no. 2, 147–166. Stability in model theory, III (Trento, 1991). MR 1226304, DOI 10.1016/0168-0072(93)90171-9
  • —, A stable ${\aleph _0}$-categorical pseudoplane, preprint, 1988.
  • Anand Pillay, Model theory, stability theory & stable groups, The model theory of groups (Notre Dame, IN, 1985–1987) Notre Dame Math. Lectures, vol. 11, Univ. Notre Dame Press, Notre Dame, IN, 1989, pp. 1–40. MR 985338
  • Saharon Shelah, Universal classes, Classification theory (Chicago, IL, 1985) Lecture Notes in Math., vol. 1292, Springer, Berlin, 1987, pp. 264–418. MR 1033033, DOI 10.1007/BFb0082242
  • B. I. Zil’ber, Totally categorical structures and combinatorial geometries, Soviet Math. Dokl. 24 (1981), 149-151.
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Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 342 (1994), 695-711
  • MSC: Primary 51A35; Secondary 03C45
  • DOI: https://doi.org/10.1090/S0002-9947-1994-1165085-8
  • MathSciNet review: 1165085