Journal of Symbolic Logic 64 (4):1375-1395 (1999)
|Abstract||Assume T is a superstable theory with $ countable models. We prove that any *-algebraic type of M-rank > 0 is m-nonorthogonal to a *-algebraic type of M-rank 1. We study the geometry induced by m-dependence on a *-algebraic type p* of M-rank 1. We prove that after some localization this geometry becomes projective over a division ring F. Associated with p* is a meager type p. We prove that p is determined by p* up to nonorthogonality and that F underlies also the geometry induced by forking dependence on any stationarization of p. Also we study some *-algebraic *-groups of M-rank 1 and prove that any *-algebraic *-group of M-rank 1 is abelian-by-finite|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
Eric Jaligot (2001). Full Frobenius Groups of Finite Morley Rank and the Feit-Thompson Theorem. Bulletin of Symbolic Logic 7 (3):315-328.
Steven Buechler (1987). Isolated Types in a Weakly Minimal Set. Journal of Symbolic Logic 52 (2):543-547.
David M. Evans & Frank O. Wagner (2000). Supersimple Ω-Categorical Groups and Theories. Journal of Symbolic Logic 65 (2):767-776.
Ronald F. Bustamante Medina (2010). Rank and Dimension in Difference-Differential Fields. Notre Dame Journal of Formal Logic 52 (4):403-414.
Adrien Deloro (2009). Actions of Groups of Finite Morley Rank on Small Abelian Groups. Bulletin of Symbolic Logic 15 (1):70-90.
Assaf Peretz (2006). Geometry of Forking in Simple Theories. Journal of Symbolic Logic 71 (1):347 - 359.
Frank Wagner (2001). Fields of Finite Morley Rank. Journal of Symbolic Logic 66 (2):703-706.
Anand Pillay (1995). The Geometry of Forking and Groups of Finite Morley Rank. Journal of Symbolic Logic 60 (4):1251-1259.
Olivier Lessmann (2003). Categoricity and U-Rank in Excellent Classes. Journal of Symbolic Logic 68 (4):1317-1336.
Ludomir Newelski (1996). On Atomic or Saturated Sets. Journal of Symbolic Logic 61 (1):318-333.
Added to index2009-01-28
Total downloads3 ( #213,250 of 722,826 )
Recent downloads (6 months)1 ( #60,541 of 722,826 )
How can I increase my downloads?