The torsion-free part of the Ziegler spectrum of orders over Dedekind domains

Lorna Gregory; Sonia L'Innocente; Carlo Toffalori

doi:10.1002/malq.201800039

The torsion-free part of the Ziegler spectrum of orders over Dedekind domains

Lorna Gregory, Sonia L'Innocente, Carlo Toffalori

Algebra, Number Theory, Logic, and Representations (ANTLR)

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

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

Original language	English
Pages (from-to)	20-36
Number of pages	17
Journal	Mathematical Logic Quarterly
Volume	66
Issue number	1
Early online date	24 Mar 2020
DOIs	https://doi.org/10.1002/malq.201800039
Publication status	Published - Mar 2020

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10.1002/malq.201800039

https://arxiv.org/abs/1806.01021

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title = "The torsion-free part of the Ziegler spectrum of orders over Dedekind domains",

abstract = "We study the R-torsion-free part of the Ziegler spectrum of an order Λ over a Dedekind domain R. We underline and comment on the role of lattices over Λ. We describe the torsion-free part of the spectrum when Λ is of finite lattice representation type.",

author = "Lorna Gregory and Sonia L'Innocente and Carlo Toffalori",

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The torsion-free part of the Ziegler spectrum of orders over Dedekind domains

Abstract

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