Thorn independence in the field of real numbers with a small multiplicative group

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Thorn independence in the field of real numbers with a small multiplicative group

We characterize þ-independence in a variety of structures, focusing on the eld of real numbers expanded by predicate de ning a dense multiplicative subgroup, G, satisfying the Mann property and whose pth powers are of nite index in G. We also show such structures are super-rosy and eliminate imaginaries up to codes for small sets.

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ژورنال

عنوان ژورنال: Annals of Pure and Applied Logic

سال: 2007

ISSN: 0168-0072

DOI: 10.1016/j.apal.2007.06.002