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Title of Journal: Sib Math J

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Abbravation: Siberian Mathematical Journal

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Springer US

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DOI

10.1002/cber.188501801210

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1573-9260

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Σdefinability of uncountable models of Emphasis

Authors: A I Stukachev
Publish Date: 2010/06/23
Volume: 51, Issue: 3, Pages: 515-524
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Abstract

We show that each csimple theory with an additional discreteness condition has an uncountable model Σdefinable in ℍ mathbbH mathbbL where mathbbL is a dense linear order From this we establish the same for all csimple theories of finite signature that are submodel completeThe author was supported by the Russian Foundation for Basic Research Grants 060104002NNIOa 080100442a and 090112140ofi m the State Maintenance Program for the Leading Scientific Schools of the Russian Federation Grant NSh33520081 and the Lavrent’ev Young Scientists Competition of the Russian Academy of Sciences Resolution No 43 of 04022010

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Other Papers In This Journal:
  1. The hypercentral structure of the group of unitriangular automorphisms of a free metabelian Lie algebra
  2. On smoothness of a fundamental solution to a second order hyperbolic equation
  3. An analog of Wald’s identity for random walks with infinite mean
  4. On the subspace L (( x ∧ y ) m ) of S m (∧ 2 ℝ 4 )
  5. Locally nilpotent groups containing an element that commutes with only finitely many of its conjugates
  6. Some morphisms of modules over the ring of pseudorational numbers
  7. Diagonals of the laurent series of rational functions
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