Ample dividing

Journal of Symbolic Logic 68 (4):1385-1402 (2003)
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Abstract

We construct a stable one-based, trivial theory with a reduct which is not trivial. This answers a question of John B. Goode. Using this, we construct a stable theory which is n-ample for all natural numbers n, and does not interpret an infinite group

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Citations of this work

Ample thoughts.Daniel Palacín & Frank O. Wagner - 2013 - Journal of Symbolic Logic 78 (2):489-510.
Forking geometry on theories with an independent predicate.Juan Felipe Carmona - 2015 - Archive for Mathematical Logic 54 (1-2):247-255.

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References found in this work

A new strongly minimal set.Ehud Hrushovski - 1993 - Annals of Pure and Applied Logic 62 (2):147-166.
[Introduction].Wilfrid Hodges - 1988 - Journal of Symbolic Logic 53 (1):1.
A note on CM-Triviality and the geometry of forking.Anand Pillay - 2000 - Journal of Symbolic Logic 65 (1):474-480.
Some trivial considerations.John B. Goode - 1991 - Journal of Symbolic Logic 56 (2):624-631.
The geometry of forking and groups of finite Morley rank.Anand Pillay - 1995 - Journal of Symbolic Logic 60 (4):1251-1259.

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