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A Characterization of Strongly Dependent Ordered Abelian Groups

  • Autores: John Goodrick, Alfred Dolich
  • Localización: Revista Colombiana de Matemáticas, ISSN-e 0034-7426, Vol. 52, Nº. 2, 2018, págs. 139-159
  • Idioma: inglés
  • DOI: 10.15446/recolma.v52n2.77154
  • Títulos paralelos:
    • Una caracterización de los grupos abelianos fuertemente dependientes
  • Enlaces
  • Referencias bibliográficas
    • H. Adler, Strong theories, burden, and weight, available on author’s website, 2007.
    • A. Chernikov, I. Kaplan, and P. Simon, Groups and fields with NTP2, Proceedings of the American Mathematical Society 143 (2015), no. 1, 395–406.
    • R. Cluckers and I. Halupczok, Quantifier elimination in ordered abelian groups, Confluentes Mathematici 3 (2011), no. 4, 587–615.
    • A. Dolich, J. Goodrick, and D. Lippel, Dp-minimal theories: basic facts and examples, Notre Dame Journal of Formal Logic 52 (2011), no. 3,...
    • R. Farré, Strong ordered abelian groups and dp-rank, arXiv: 1706.05471, 2017.
    • Y. Gurevich and P. H. Schmitt, The theory of ordered abelian groups does not have the independence property, Transactions of the American...
    • Y. Halevi and A. Hasson, Strongly dependent ordered abelian groups and henselian fields, arXiv: 1706.03376, 2017.
    • F. Jahnke, P. Simon, and E. Walsberg, Dp-minimal valued fields, Journal of Symbolic Logic 82 (2015), 151–165.
    • S. Shelah, Classification theory, second ed., North-Holland, 1990.
    • S. Shelah, Strongly dependent theories, Israel Journal of Mathematics 204 (2014), 1–83.

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