Weakly minimal modules over integral group rings and over related classes of rings

Mathematical Logic Quarterly 51 (6):613-625 (2005)
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Abstract

A module is weakly minimal if and only if every pp-definable subgroup is either finite or of finite index. We study weakly minimal modules over several classes of rings, including valuation domains, Prüfer domains and integral group rings

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References found in this work

Model theory of modules.Martin Ziegler - 1984 - Annals of Pure and Applied Logic 26 (2):149-213.
Weakly minimal groups of unbounded exponent.James Loveys - 1990 - Journal of Symbolic Logic 55 (3):928-937.
On locally modular, weakly minimal theories.James Loveys - 1993 - Archive for Mathematical Logic 32 (3):173-194.
The elementary theory of abelian groups.Paul C. Eklof - 1972 - Annals of Mathematical Logic 4 (2):115.

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