A NOTE ON DENSITY AND THE DIRICHLET CONDITION

DOI10.1142/S1793042112500479zbMath1290.11012MaRDI QIDQ2880339

Štefan Porubský, František Marko

Publication date: 13 April 2012

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

maximal idealtopological semigroupresidually finite ringpseudoprimearithmetical progressioncoset topologyDirichlet theorem on primestopological density\(h\)-local domainring of finite character

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Density, gaps, topology (11B05) Generalized primes and integers (11N80)

Related Items (3)

Golomb's arithmetical semigroup topology and a semiprime sufficiency condition for Dirichlet's theorem ⋮ Coset topologies on \(\mathbb{Z}\) and arithmetic applications ⋮ A note on Golomb topologies

Cites Work

• Neat rings
• On the Infinitude of Primes
• Dirichlet’s theorem for polynomial rings
• Polynomials Contained in a Finite Number of Maximal Ideals
• Adic Topologies for the Rational Integers
• A Connected Topology for the Integers
• Residually Finite Rings

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