The Golomb topology of polynomial rings, II

DOI10.2989/16073606.2023.2190046arXiv2209.12594OpenAlexW4364365072MaRDI QIDQ6123570

Dario Spirito

Publication date: 5 April 2024

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.12594

zbMATH Keywords

polynomial ringsDedekind domainsGolomb topology

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Peculiar topological spaces (54G99) General field theory (12E99)

Cites Work

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• Topologies related to arithmetical properties of integral domains
• The Golomb topology on a Dedekind domain and the group of units of its quotients
• Dirichlet’s theorem for polynomial rings
• A note on Golomb topologies
• On continuous self-maps and homeomorphisms of the Golomb space
• The Golomb Topology of Polynomial Rings
• The Golomb space is topologically rigid
• A Connected Topology for the Integers

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