Constructing ω-stable Structures: Rank k-fields
John T. Baldwin and Kitty Holland
Source: Notre Dame J. Formal Logic Volume 44, Number 3
(2003), 139-147.
Abstract
Theorem: For every k, there is an expansion of the theory of algebraically closed fields (of any fixed characteristic) which is almost strongly minimal with Morley rank k.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.ndjfl/1091030852
Digital Object Identifier: doi:10.1305/ndjfl/1091030852
Mathematical Reviews number (MathSciNet): MR2033422
Zentralblatt MATH identifier: 1071.03020
References
[1] Baldwin, J. T., and K. Holland, ``Constructing $\omega$-stable structures: Rank 2 fields,'' The Journal of Symbolic Logic, vol. 65 (2000), pp. 371--91.
Mathematical Reviews (MathSciNet): MR2001k:03070
Zentralblatt MATH: 0957.03044
JSTOR: links.jstor.org
[2] Baldwin, J. T., and K. Holland, "Constructing $\omega$"-stable structures: Computing rank, Fundamenta Mathematicae, vol. 170 (2001), pp. 1--20. Dedicated to the memory of Jerzy Ł oś.
Mathematical Reviews (MathSciNet): MR2002k:03049
Zentralblatt MATH: 0994.03030
[3] Holland, K. L., "Model completeness of the new strongly minimal sets", The Journal of Symbolic Logic, vol. 64 (1999), pp. 946--62.
Mathematical Reviews (MathSciNet): MR2001k:03065
Zentralblatt MATH: 0945.03045
JSTOR: links.jstor.org
[4] Pillay, A., An Introduction to Stability Theory, vol. 8 of Oxford Logic Guides, The Clarendon Press, New York, 1983.
Mathematical Reviews (MathSciNet): MR85i:03104
Zentralblatt MATH: 0526.03014
[5] Poizat, B., Groupes Stables. Une Tentative de Conciliation Entre la Géométrie Algébrique et la Logique Mathématique, vol. 2 of Nur al-Mantiq wal-Ma'rifah [Light of Logic and Knowledge, Bruno Poizat, Lyon, 1987.
Mathematical Reviews (MathSciNet): MR89b:03056
Zentralblatt MATH: 0633.03019
Notre Dame Journal of Formal Logic
