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

Access to Document

10.1002/malq.201800039

https://arxiv.org/abs/1806.01021

Cite this

@article{d2c1e7de83904130bcb344cc6a3da177,

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",

note = "Funding Information: We thank the referee for her or his valuable comments and suggestions. The second and third authors thank the Italian GNSAGA-INdAM for its support.",

year = "2020",

month = mar,

doi = "10.1002/malq.201800039",

language = "English",

volume = "66",

pages = "20--36",

journal = "Mathematical Logic Quarterly",

issn = "0942-5616",

publisher = "Wiley",

number = "1",

}

TY - JOUR

T1 - The torsion-free part of the Ziegler spectrum of orders over Dedekind domains

AU - Gregory, Lorna

AU - L'Innocente, Sonia

AU - Toffalori, Carlo

N1 - Funding Information: We thank the referee for her or his valuable comments and suggestions. The second and third authors thank the Italian GNSAGA-INdAM for its support.

PY - 2020/3

Y1 - 2020/3

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85082116242

U2 - 10.1002/malq.201800039

DO - 10.1002/malq.201800039

M3 - Article

AN - SCOPUS:85082116242

SN - 0942-5616

VL - 66

SP - 20

EP - 36

JO - Mathematical Logic Quarterly

JF - Mathematical Logic Quarterly

IS - 1

ER -

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

Abstract

Access to Document

Other files and links

Cite this