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CM-triviality and generic structures

✍ Scribed by Ikuo Yoneda

Publisher
Springer
Year
2003
Tongue
English
Weight
165 KB
Volume
42
Category
Article
ISSN
0933-5846

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πŸ“œ SIMILAR VOLUMES

CM-triviality and relational structures
CM-triviality and relational structures
✍ Viktor Verbovskiy; Ikuo Yoneda πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 218 KB

## Continuing work of Baldwin and Shi (Ann. Pure Appl. Logic 79 (1996) 1), we study non-!-saturated generic structures of the ab initio Hrushovski construction with amalgamation over closed sets. We show that they are CM-trivial with weak elimination of imaginaries. Our main tool is a new charact

Mekler's construction preserves CM-trivi
Mekler's construction preserves CM-triviality
✍ Andreas Baudisch πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 468 KB

For every structure M of ΓΏnite signature Mekler (J. Symbolic Logic 46 (1981) 781) has constructed a group G such that for every Γ„ the maximal number of n-types over an elementary equivalent model of cardinality Γ„ is the same for M and G. These groups are nilpotent of class 2 and of exponent p, where

Simple generic structures
Simple generic structures
✍ Massoud Pourmahdian πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 323 KB

A study of smooth classes whose generic structures have simple theory is carried out in a spirit similar to Hrushovski (Ann. Pure Appl. Logic 62 (1993) 147; Simplicity and the Lascar group, preprint, 1997) and Baldwin-Shi (Ann. Pure Appl. Logic 79 (1) (1996) 1). We attach to a smooth class K0; β‰Ί of