Constructing ω-stable structures: Computing rank

John T. Baldwin, and Kitty Holland. "Constructing ω-stable structures: Computing rank." Fundamenta Mathematicae 170.1-2 (2001): 1-20. <http://eudml.org/doc/281785>.

@article{JohnT2001,
abstract = {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.},
author = {John T. Baldwin, Kitty Holland},
journal = {Fundamenta Mathematicae},
keywords = {-stable structure; strong separation of quantifiers; bicolored fields},
language = {eng},
number = {1-2},
pages = {1-20},
title = {Constructing ω-stable structures: Computing rank},
url = {http://eudml.org/doc/281785},
volume = {170},
year = {2001},
}

TY - JOUR
AU - John T. Baldwin
AU - Kitty Holland
TI - Constructing ω-stable structures: Computing rank
JO - Fundamenta Mathematicae
PY - 2001
VL - 170
IS - 1-2
SP - 1
EP - 20
AB - 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.
LA - eng
KW - -stable structure; strong separation of quantifiers; bicolored fields
UR - http://eudml.org/doc/281785
ER -