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', where R is a subring of R', with particular interest in the case when R' is the integral closure of R in a finite dimensionale separable field extension of the field of fractions of R.
Notes on model theory of modules over Dedekind domains
Lorna GregoryPrimo
;Carlo Toffalori
Ultimo
2023-01-01
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 R', where R is a subring of R', with particular interest in the case when R' is the integral closure of R in a finite dimensionale separable field extension of the field of fractions of R.File in questo prodotto:
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