On a characterization of compact Hausdorff space \(X\) for which certain algebraic equations are solvable in \(C(X)\)

DOI10.3836/TJM/1202136685zbMath1179.46044OpenAlexW1973426345MaRDI QIDQ932988

Takeshi Miura, Dai Honma

Publication date: 21 July 2008

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1202136685

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10)

Related Items (3)

On the existence of continuous (approximate) roots of algebraic equations ⋮ Higher dimensional compacta with algebraically closed function algebras ⋮ On the root closedness of continuous function algebras

Cites Work

• On the existence of continuous (approximate) roots of algebraic equations
• On the characterization of compact Hausdorff \(X\) for which \(C(X)\) is algebraically closed
• ON SOME ALGEBRAIC CHARACTERISTICS OF THE ALGEBRA OF ALL CONTINUOUS FUNCTIONS ON A LOCALLY CONNECTED COMPACTUM
• On a characterization of the maximal ideal spaces of algebraically closed commutative $C^{\ast }$-algebras
• On a characterization of the maximal ideal spaces of commutative 𝐶*-algebras in which every element is the square of another
• On Algebraic Closure in Function Algebras
• On Matrices Over the Ring of Continuous Complex Valued Functions on a Stonian Space
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