Rings of Continuous Integer-Valued Functions and Nonstandard Arithmetic

DOI10.2307/1993975zbMath0143.01002OpenAlexW4234472344MaRDI QIDQ5518352

Norman L. Alling

Publication date: 1965

Full work available at URL: https://doi.org/10.2307/1993975

zbMATH Keywords

mathematical logic

Related Items

On ideals of rings of continuous integer-valued functions on a frame, The maximal ring of quotient \(f\)-ring, Integer-valued continuous functions, Homomorphisms from \(C(X,\mathbb {Z})\) into a ring of continuous functions, Yosida, Martínez, and A + B Rings, The global dimension of anf-ring via its space of minimal prime ideals, Concerning maximal \(\ell\)-ideals of rings of continuous integer-valued functions., Signatures on semilocal rings, Singular \(f\)-rings which are \(\alpha\)-G. C. D. rings, Topological Extension Properties

Cites Work

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• Ultraproducts in the theory of models
• The valuation theory of meromorphic function fields over open Riemann surfaces
• Introduction to model theory and to the metamathematics of algebra
• A CHARACTERIZATION OF ABELIAN η _α -GROUPS IN TERMS OF THEIR NATURAL VALUATION
• On the Existence of Real-Closed Fields That Are η α -Sets of Power ℵ α
• Rings of Integer-Valued Continuous Functions
• An Application of Valuation Theory to Rings of Continuous Real and Complex-Valued Functions
• Rings of Real-Valued Continuous Functions. I