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The torsion-free part of the Ziegler spectrum of orders over Dedekind domains. (English) Zbl 1521.03087

Summary: We study the \(R\)-torsion-free part of the Ziegler spectrum of an order \(\Lambda\) over a Dedekind domain \(R\). We underline and comment on the role of lattices over \(\Lambda \). We describe the torsion-free part of the spectrum when \(\Lambda\) is of finite lattice representation type.

MSC:

03C60 Model-theoretic algebra
03F35 Second- and higher-order arithmetic and fragments
13G05 Integral domains
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