Notes on model theory of modules over Dedekind domains

Gregory, Lorna ORCID:, 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

[thumbnail of DedekindforPURE] PDF (DedekindforPURE) - Accepted Version
Restricted to Repository staff only until 3 July 2024.

Request a copy


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:
Depositing User: LivePure Connector
Date Deposited: 07 Jul 2023 10:30
Last Modified: 03 Apr 2024 09:31
DOI: 10.1007/s40574-023-00372-w

Actions (login required)

View Item View Item