Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integer-valued Polynomials, Pr\"ufer Domains and the Sacked Bases
  Property   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.

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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: adap-org
3
The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th