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Rank functions in stable theories

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Publication:1160618
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DOI10.1007/BF00968468zbMath0478.03012MaRDI QIDQ1160618

T. G. Mustafin

Publication date: 1980

Published in: Siberian Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

Morley ranktotally transcendental theoriesnormal rank functionsstability and superstability of theories


Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45)


Related Items (4)

Properties of m-types in stable theories ⋮ A.D. Taimanov and model theory in Kazakhstan ⋮ Principles for normalization of formulas ⋮ Classification of superstable theories by rank functions



Cites Work

  • Ranks and definability in superstable theories
  • An axiomatic approach to rank in model theory
  • On the Existence of Saturated Models of Stable Theories
  • Stability, the f.c.p., and superstability; model theoretic properties of formulas in first order theory
  • Categoricity in Power
  • On theories T categorical in |T|
  • Finite diagrams stable in power
  • Uniqueness and characterization of prime models over sets for totally transcendental first-order theories
  • a T is Finite for ℵ 1 -Categorical T
  • A property of stable theories


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