Topologies related to arithmetical properties of integral domains
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Publication:1364148
zbMath0883.11043MaRDI QIDQ1364148
John Knopfmacher, Štefan Porubský
Publication date: 8 December 1997
Published in: Expositiones Mathematicae (Search for Journal in Brave)
topological semigrouparithmetical progressionpseudoprimescoset topologyDirichlet theorem on primestopological density
Arithmetic functions; related numbers; inversion formulas (11A25) Structure of topological semigroups (22A15) Distribution of integers with specified multiplicative constraints (11N25) Topological and differentiable algebraic systems (22A99) Generalized primes and integers (11N80)
Related Items (10)
Golomb's arithmetical semigroup topology and a semiprime sufficiency condition for Dirichlet's theorem ⋮ AN EXTENSION OF FURSTENBERG’S THEOREM OF THE INFINITUDE OF PRIMES ⋮ Unnamed Item ⋮ The Golomb topology of polynomial rings, II ⋮ Coset topologies on \(\mathbb{Z}\) and arithmetic applications ⋮ A note on Golomb topologies ⋮ Wildness of iteration of certain residue-class-wise affine mappings ⋮ On continuous self-maps and homeomorphisms of the Golomb space ⋮ The Golomb topology on a Dedekind domain and the group of units of its quotients ⋮ The Golomb Topology of Polynomial Rings
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