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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 (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, Logic & Number Theory |
| Related URLs: | |
| Depositing User: | LivePure Connector |
| Date Deposited: | 07 Jul 2023 10:30 |
| Last Modified: | 18 Nov 2024 00:54 |
| URI: | https://ueaeprints.uea.ac.uk/id/eprint/92573 |
| DOI: | 10.1007/s40574-023-00372-w |
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