David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Journal of Symbolic Logic 64 (4):1375-1395 (1999)
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)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
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.
Olivier Lessmann (2003). Categoricity and U-Rank in Excellent Classes. Journal of Symbolic Logic 68 (4):1317-1336.
Anand Pillay (1995). The Geometry of Forking and Groups of Finite Morley Rank. Journal of Symbolic Logic 60 (4):1251-1259.
Frank Wagner (2001). Fields of Finite Morley Rank. Journal of Symbolic Logic 66 (2):703-706.
Assaf Peretz (2006). Geometry of Forking in Simple Theories. Journal of Symbolic Logic 71 (1):347 - 359.
Adrien Deloro (2009). Actions of Groups of Finite Morley Rank on Small Abelian Groups. Bulletin of Symbolic Logic 15 (1):70-90.
Ronald F. Bustamante Medina (2010). Rank and Dimension in Difference-Differential Fields. Notre Dame Journal of Formal Logic 52 (4):403-414.
David M. Evans & Frank O. Wagner (2000). Supersimple Ω-Categorical Groups and Theories. Journal of Symbolic Logic 65 (2):767-776.
Steven Buechler (1987). Isolated Types in a Weakly Minimal Set. Journal of Symbolic Logic 52 (2):543-547.
Ludomir Newelski (1996). On Atomic or Saturated Sets. Journal of Symbolic Logic 61 (1):318-333.
Added to index2009-01-28
Total downloads10 ( #227,553 of 1,724,852 )
Recent downloads (6 months)2 ( #268,597 of 1,724,852 )
How can I increase my downloads?