Solution d'un problème d'Erdős,Gillman etHenriksen et application a l'étude des homomorphismes de $$C$$ (K)(K)

DOI10.1007/BF01895655zbMath0411.46037MaRDI QIDQ4199263

Jean Esterle

Publication date: 1977

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

zbMATH Keywords

continuum hypothesisfields of formal power seriesdiscontinuous homomorphismnonmaximal prime idealtotally ordered real-closed eta index alpha fields

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Ideals, maximal ideals, boundaries (46J20) Large cardinals (03E55) Continuum hypothesis and Martin's axiom (03E50) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Related Items (9)

Universal multiplicative properties of certain quotients of Fréchet algebras ⋮ The structure of discontinuous homomorphisms from non-commutative C*-algebras ⋮ Theorems of Gelfand-Mazur type and continuity of epimorphisms from \(\mathcal C (K)\) ⋮ Transseries and Todorov-Vernaeve's asymptotic fields ⋮ The Absolute Arithmetic Continuum and the Unification Of all Numbers Great and Small ⋮ The surreal numbers as a universal \(H\)-field ⋮ Discontinuous homomorphisms from 𝐶(𝑋) ⋮ Logarithmic-exponential series ⋮ Picard's theorem, Mittag-Leffler methods, and continuity of characters on Fréchet algebras

Cites Work

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• Homomorphisms From C^* -Algebras
• Algebraically Closed Fields Analogous to Fields of Puiseux Series
• Homomorphisms from C₀ (R)
• Discontinuous homomorphisms from 𝐶(𝑋)
• Injection De Semi-Groupes Divisibles Dans Des Algèbres De Convolution Et Construction D'homomorphismes Discontinus De C (K )
• Embedding the Algebra of Formal Power Series in a Banach Algebra
• On Ordered Division Rings

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