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Integer-valued Polynomials, Pr\"ufer Domains and the Sacked Bases Property. (arXiv:1810.03898v1 [math.AC])
来源于:arXiv
To study the question of whether every two-dimensional Pr\"ufer domain
possesses the stacked bases property, we consider the particular case of the
Pr\"ufer 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. 查看全文>>