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The torsion‐free part of the Ziegler spectrum of orders over Dedekind domains
Author(s) -
Gregory Lorna,
L'Innocente Sonia,
Toffalori Carlo
Publication year - 2020
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.201800039
Subject(s) - dedekind cut , torsion (gastropod) , mathematics , pure mathematics , lattice (music) , spectrum (functional analysis) , physics , quantum mechanics , surgery , medicine , acoustics
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.