Inductive Ring Topologies

DOI10.2307/1994834zbMath0165.05302OpenAlexW4245985385MaRDI QIDQ5549868

John O. Kiltinen

Publication date: 1968

Full work available at URL: https://doi.org/10.2307/1994834

zbMATH Keywords

commutative algebra

Related Items (15)

On the Number of Locally Bounded Field Topologies ⋮ The maximum ring topology on the rational number field among those for which the sequence \(1/n\) converges to zero. ⋮ Connected and disconnected fields ⋮ Maximal and Minimal Ring Topologies ⋮ Commutative rings with identity have ring topologies ⋮ An example of a nontrivial ring topology on the algebraic closure of a finite field ⋮ Rings with Nondiscrete Ideal Topologies ⋮ Inverses of Polynomial Functions in Topological Fields ⋮ On the Number of Field Topologies on an Infinite Field ⋮ Lacunar ring topologies and maximum ring topologies with a prescribed convergent sequence ⋮ The Number of Field Topologies on Countable Fields ⋮ Topologische Charakterisierung globaler Körper und algebraischer Funktionenkörper in einer Variablen ⋮ Ringtopologien auf nichtalgebraischen Körpern ⋮ The field of rational numbers is algebraically closed in some of its topological completions ⋮ Topological completions of the field of rational numbers which consist of Liouville numbers and rational numbers

Cites Work

• Topologies on quotient fields
• An Infinite Groupoid which Admits only Trivial Topologies
• Integer Topologies
• On the Embedding of Topological Semigroups and Integral Domains
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