Notes on model theory of modules over Dedekind domains

被引：0

作者：

Gregory, Lorna ^{[1
]}

Herzog, Ivo ^{[2
]}

Toffalori, Carlo ^{[3
]}

机构：

[1] Univ East Anglia, Sch Math, Norwich NR4 7TJ, England

[2] Ohio State Univ Lima, Dept Math, 401 B Galvin Hall,4240 Campus Dr, Lima, OH 45804 USA

[3] Univ Camerino, Sch Sci & Technol, Div Math, Via Madonna Carceri 9, I-62032 Camerino, Italy

来源：

BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA | 2024年 / 17卷 / 01期

关键词：

Dedekind domain; Locally bounded pp-formula; Poincare series; DECIDABILITY;

D O I：

10.1007/s40574-023-00372-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 (R) over tilde, where R a subring of (R) over tilde, with particular interest in the case when (R) over tilde is the integral closure of R in a finite dimensional separable field extension of the field of fractions of R.

引用

页码：11 / 39

页数：29

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