Measurability in modules

Archive for Mathematical Logic 53 (5-6):593-620 (2014)
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Abstract

In this paper we prove that in modules, MS-measurability depends on being able to define a measure function on the p.p. definable subgroups. We give a classification of abelian groups in terms of measurability. Finally we discuss the relation with Q[t]\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{Q}[t]}$$\end{document} -valued measures.

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Citations of this work

Model theory of finite and pseudofinite groups.Dugald Macpherson - 2018 - Archive for Mathematical Logic 57 (1-2):159-184.

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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.
Asymptotic Classes of Finite Structures.Richard Elwes - 2007 - Journal of Symbolic Logic 72 (2):418 - 438.
The last word on elimination of quantifiers in modules.Hans B. Gute & K. K. Reuter - 1990 - Journal of Symbolic Logic 55 (2):670-673.
Elementary Properties of Abelian Groups.W. Szmielew - 1959 - Journal of Symbolic Logic 24 (1):59-59.

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