Switch to: References

Add citations

You must login to add citations.
  1. Pseudoprojective strongly minimal sets are locally projective.Steven Buechler - 1991 - Journal of Symbolic Logic 56 (4):1184-1194.
    Let D be a strongly minimal set in the language L, and $D' \supset D$ an elementary extension with infinite dimension over D. Add to L a unary predicate symbol D and let T' be the theory of the structure (D', D), where D interprets the predicate D. It is known that T' is ω-stable. We prove Theorem A. If D is not locally modular, then T' has Morley rank ω. We say that a strongly minimal set D is pseudoprojective (...)
    Download  
     
    Export citation  
     
    Bookmark   11 citations  
  • Abelian groups with modular generic.James Loveys - 1991 - Journal of Symbolic Logic 56 (1):250-259.
    Let G be a stable abelian group with regular modular generic. We show that either 1. there is a definable nongeneric K ≤ G such that G/K has definable connected component and so strongly regular generics, or 2. distinct elements of the division ring yielding the dependence relation are represented by subgroups of G × G realizing distinct strong types (when regarded as elements of G eq ). In the latter case one can choose almost 0-definable subgroups representing the elements (...)
    Download  
     
    Export citation  
     
    Bookmark   2 citations