• Title of article

    Interpreting structures of finite Morley Rank in strongly minimal sets

  • Author/Authors

    Hasson، نويسنده , , Assaf، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2007
  • Pages
    19
  • From page
    96
  • To page
    114
  • Abstract
    We show that any structure of finite Morley Rank having the definable multiplicity property (DMP) has a rank and multiplicity preserving interpretation in a strongly minimal set. In particular, every totally categorical theory admits such an interpretation. We also show that a slightly weaker version of the DMP is necessary for a structure of finite rank to have a strongly minimal expansion. We conclude by constructing an almost strongly minimal set which does not have the DMP in any rank preserving expansion, and ask whether this structure is interpretable in a strongly minimal set.
  • Keywords
    Classification theory stability and related concepts , Categoricity and completeness of theories
  • Journal title
    Annals of Pure and Applied Logic
  • Serial Year
    2007
  • Journal title
    Annals of Pure and Applied Logic
  • Record number

    1444198