# Saturation and solvability in abstract elementary classes with amalgamation

Saturation and solvability in abstract elementary classes with amalgamation Theorem 0.1 Let $$\mathbf {K}$$ K be an abstract elementary class (AEC) with amalgamation and no maximal models. Let $$\lambda > {LS}(\mathbf {K})$$ λ > LS ( K ) . If $$\mathbf {K}$$ K is categorical in $$\lambda$$ λ , then the model of cardinality $$\lambda$$ λ is Galois-saturated. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Archive for Mathematical Logic Springer Journals

# Saturation and solvability in abstract elementary classes with amalgamation

, Volume 56 (6) – May 27, 2017
20 pages

/lp/springer_journal/saturation-and-solvability-in-abstract-elementary-classes-with-PT0weThfAN
Publisher
Springer Berlin Heidelberg
Subject
Mathematics; Mathematical Logic and Foundations; Mathematics, general; Algebra
ISSN
0933-5846
eISSN
1432-0665
D.O.I.
10.1007/s00153-017-0561-8
Publisher site
See Article on Publisher Site

### Abstract

Theorem 0.1 Let $$\mathbf {K}$$ K be an abstract elementary class (AEC) with amalgamation and no maximal models. Let $$\lambda > {LS}(\mathbf {K})$$ λ > LS ( K ) . If $$\mathbf {K}$$ K is categorical in $$\lambda$$ λ , then the model of cardinality $$\lambda$$ λ is Galois-saturated.

### Journal

Archive for Mathematical LogicSpringer Journals

Published: May 27, 2017

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