Notes on model theory of modules over Dedekind domains

Gregory, Lorna ORCID: https://orcid.org/0000-0002-5508-7217, Herzog, Ivo and Toffalori, Carlo (2024) Notes on model theory of modules over Dedekind domains. Bollettino dell’Unione Matematica Italiana, 17. 11–39. ISSN 1972-6724

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Abstract

We associate a formal power series to every pp-formula over a Dedekind domain and use it to study Ziegler spectra of Dedekind domains $R$ and $\widetilde{R},$ where $R$ a subring of $\widetilde{R}$, with particular interest in the case when $\widetilde{R}$ is the integral closure of $R$ in a finite dimensional separable field extension of the field of fractions of $R$.

Item Type:	Article
Uncontrolled Keywords:	dedekind domain,locally bounded pp-formula,poincare series,dedekind domain,poincaré series,locally bounded pp-formula,03c60,mathematics(all) ,/dk/atira/pure/subjectarea/asjc/2600
Faculty \ School:	Faculty of Science > School of Mathematics
UEA Research Groups:	Faculty of Science > Research Groups > Algebra and Combinatorics Faculty of Science > Research Groups > Logic
Related URLs:	http://www.scopus.com/inward/record.url?...
Depositing User:	LivePure Connector
Date Deposited:	07 Jul 2023 10:30
Last Modified:	03 Apr 2024 09:31
URI:	https://ueaeprints.uea.ac.uk/id/eprint/92573
DOI:	10.1007/s40574-023-00372-w

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