Notes on model theory of modules over Dedekind domains

Gregory, Lorna, 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 (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Algebra and Combinatorics (former - to 2024) Faculty of Science > Research Groups > Logic (former - to 2024) Faculty of Science > Research Groups > Algebra, Number Theory, Logic, and Representations (ANTLR)
Related URLs:	http://www.scopus.com/inward/record.url?...
Depositing User:	LivePure Connector
Date Deposited:	07 Jul 2023 10:30
Last Modified:	06 Feb 2025 11:30
URI:	https://ueaeprints.uea.ac.uk/id/eprint/92573
DOI:	10.1007/s40574-023-00372-w

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