Constructing ω-stable structures: Computing rank

• Autorzy: John T. Baldwin , Kitty Holland
• Języki publikacji: EN

Abstrakty

EN

This is a sequel to [1]. Here we give careful attention to the difficulties of calculating Morley and U-rank of the infinite rank ω-stable theories constructed by variants of Hrushovski's methods. Sample result: For every k < ω, there is an ω-stable expansion of any algebraically closed field which has Morley rank ω × k. We include a corrected proof of the lemma in [1] establishing that the generic model is ω-saturated in the rank 2 case.

Kategorie tematyczne

• 03C60: Model-theoretic algebra

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2001
• Tom: 170
• Numer: 1-2
• Strony: 1-20

Daty

wydano

2001

Twórcy

autor

John T. Baldwin

• Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, M/C 249, 851, S. Morgan St., Chicago, IL 60607, U.S.A.

autor

Kitty Holland

• Department of Mathematics, Northern Illinois University, DeKalb, IL 60115, U.S.A.

Identyfikatory

DOI

10.4064/fm170-1-1