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arXiv · 1511.08274

Strong theories of ordered abelian groups

Alfred Dolich·John Goodrick
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Abstract

We consider strong expansions of the theory of ordered abelian groups. We show that the assumption of strength has a multitude of desirable consequences for the structure of definable sets in such theories, in particular as relates to definable infinite discrete sets. We also provide a range of examples of strong expansions of ordered abelian groups which demonstrate the great variety of such theories.

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Alfred Dolich, John Goodrick. 2015-11-26. Strong theories of ordered abelian groups. https://arxiv.org/abs/1511.08274

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