Golomb's arithmetical semigroup topology and a semiprime sufficiency condition for Dirichlet's theorem

DOI10.1216/RMJ-2016-46-3-939zbMath1423.11165MaRDI QIDQ315378

Chris Orum

Publication date: 21 September 2016

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1473275768

zbMATH Keywords

primestopological semigroupDirichlet's theoremarithemetic progressions

Mathematics Subject Classification ID

Primes in congruence classes (11N13) Structure of topological semigroups (22A15) Arithmetic progressions (11B25) Primes (11A41)

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Cites Work

• Connections between connected topological spaces on the set of positive integers
• Topologies related to arithmetical properties of integral domains
• The Darboux property for polynomials in Golomb’s and Kirch’s topologies
• A NOTE ON DENSITY AND THE DIRICHLET CONDITION
• Adic Topologies for the Rational Integers
• A Countable, Connected, Locally Connected Hausdorff Space
• A Connected Topology for the Integers
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