The polynomial closure is not topological

DOI10.1016/j.jpaa.2022.107133zbMath1495.13032arXiv2107.02552OpenAlexW3179388524MaRDI QIDQ2154265

Dario Spirito, Giulio Peruginelli

Publication date: 19 July 2022

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.02552

zbMATH Keywords

integer-valued polynomialspseudo-convergent sequencesvaluation domainspolynomial closure

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Valuation rings (13F30)

Cites Work

• On the polynomial closure in a valued field
• Extending valuations to the field of rational functions using pseudo-monotone sequences
• Maximal fields with valuations
• Integer-Valued Polynomials
• What You Should Know About Integer-Valued Polynomials
• The Zariski–Riemann space of valuation domains associated to pseudo-convergent sequences
• Unnamed Item

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