Gregory, Lorna ORCID: https://orcid.org/0000-0002-5508-7217, Herzog, Ivo and Toffalori, Carlo
(2023)
Notes on model theory of modules over Dedekind domains.
Bollettino dell’Unione Matematica Italiana.
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 |
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Uncontrolled Keywords: | dedekind domain,locally bounded pp-formula,poincare series,dedekind domain,poincaré series,locally bounded pp-formula,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: | |
Depositing User: | LivePure Connector |
Date Deposited: | 07 Jul 2023 10:30 |
Last Modified: | 19 Jul 2023 08:30 |
URI: | https://ueaeprints.uea.ac.uk/id/eprint/92573 |
DOI: | 10.1007/s40574-023-00372-w |
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