2018/10/09 by J. Boulanger, Boulanger, Jacques, Jean-Luc Chabert +1
Mathematics · Computer Science · Engineering · #Rings, Modules, and Algebras #Polynomial and algebraic computation #Advanced Numerical Analysis Techniques
paper · pdf · doi:10.48550/arxiv.1810.03898
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× 2-matrices.