On variants of CM-triviality

• Autorzy: Thomas Blossier , Amador Martin-Pizarro , Frank O. Wagner
• Języki publikacji: EN

Abstrakty

EN

We introduce a generalisation of CM-triviality relative to a fixed invariant collection of partial types, in analogy to the Canonical Base Property defined by Pillay, Ziegler and Chatzidakis which generalises one-basedness. We show that, under this condition, a stable field is internal to the family, and a group of finite Lascar rank has a normal nilpotent subgroup such that the quotient is almost internal to the family.

Kategorie tematyczne

• 03C45: Classification theory, stability and related concepts

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2012
• Tom: 219
• Numer: 3
• Strony: 253-262

Daty

wydano

2012

Twórcy

autor

Thomas Blossier

• Université de Lyon, CNRS, Université Lyon 1, Institut Camille Jordan, UMR 5208, 43 boulevard du 11 novembre 1918, F-69622 Villeurbanne Cedex, France

autor

Amador Martin-Pizarro

• Université de Lyon, CNRS, Université Lyon 1, Institut Camille Jordan, UMR 5208, 43 boulevard du 11 novembre 1918, F-69622 Villeurbanne Cedex, France

autor

Frank O. Wagner

• Université de Lyon, CNRS, Université Lyon 1, Institut Camille Jordan, UMR 5208, 43 boulevard du 11 novembre 1918, F-69622 Villeurbanne Cedex, France

Identyfikatory

DOI

10.4064/fm219-3-4