arXiv subjects
Publications and source records attributed to Jacques Boulanger.
The aim of this note is to give an elementary formulation of Tomio Kubota's proof of Satz 4 in his paper in Nagoya Math. t. 10 (1956) since this proposition is a cornerstone for the computation of the order of the Polya group of the biquadratic number fields.
To study the question of whether every two-dimensional Prüfer domain possesses the stacked bases property, we consider the particular case of the Prüfer domains formed by integer-valued polynomials. The description of the spectrum of the rings of integer-valued polynomials on a subset of a rank-one valuation domain enables us to prove that they all possess the stacked bases property. We also consider integer-valued polynomials on rings of integers of number fields and we reduce in this case the study of the stacked bases property to questions concerning $2\times 2$-matrices.