Finitely axiomatizable strongly minimal groups

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Journal of Symbolic Logic 75 (1):25-50 (2010)
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Abstract

We show that if G is a strongly minimal finitely axiomatizable group, the division ring of quasi-endomorphisms of G must be an infinite finitely presented ring

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2012

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10.2178/jsl/1264433908

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References found in this work

ℵ0-Categorical, ℵ0-stable structures.G. Cherlin, L. Harrington & A. H. Lachlan - 1985 - Annals of Pure and Applied Logic 28 (2):103-135.
Quasi finitely axiomatizable totally categorical theories.Gisela Ahlbrandt & Martin Ziegler - 1986 - Annals of Pure and Applied Logic 30 (1):63-82.
Vaught’s conjecture for superstable theories of finite rank.Steven Buechler - 2008 - Annals of Pure and Applied Logic 155 (3):135-172.
Finitely axiomatizable ℵ1 categorical theories.Ehud Hrushovski - 1994 - Journal of Symbolic Logic 59 (3):838 - 844.
The last word on elimination of quantifiers in modules.Hans B. Gute & K. K. Reuter - 1990 - Journal of Symbolic Logic 55 (2):670-673.

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