Decidability of the theory of modules over Prüfer domains with dense value groups

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Gregory, Lorna ORCID: https://orcid.org/0000-0002-5508-7217, L'Innocente, Sonia and Toffalori, Carlo (2019) Decidability of the theory of modules over Prüfer domains with dense value groups. Annals of Pure and Applied Logic, 170 (12). ISSN 0168-0072

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Abstract

We provide algebraic conditions ensuring the decidability of the theory of modules over effectively given Prüfer (in particular Bézout) domains whose localizations at maximal ideals have dense value groups. For Bézout domains, these conditions are also necessary.

Item Type:	Article
Additional Information:	Funding Information: The second and third authors thank the Italian GNSAGA-INdAM for its support. Publisher Copyright: © 2019 Elsevier B.V.
Uncontrolled Keywords:	bézout domain,decidability,dense value group,prüfer domain,logic ,/dk/atira/pure/subjectarea/asjc/2600/2609
Faculty \ School:	Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Algebra, Logic & Number Theory
Related URLs:	http://www.scopus.com/inward/record.url?...
Depositing User:	LivePure Connector
Date Deposited:	17 Oct 2022 12:30
Last Modified:	07 Nov 2024 12:45
URI:	https://ueaeprints.uea.ac.uk/id/eprint/89127
DOI:	10.1016/j.apal.2019.102719

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