A note on ideals of \(C_\infty(X)\)

DOI10.1016/J.TOPOL.2015.04.001zbMath1315.54018OpenAlexW2034442773MaRDI QIDQ2344324

Swapan Kumar Ghosh

Publication date: 13 May 2015

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2015.04.001

zbMATH Keywords

realcompact space\(C_\infty(x)\)\(C_K(x)\)\(z_\infty\)-idealnicely balanced ideal

Mathematics Subject Classification ID

Continuous maps (54C05) Function spaces in general topology (54C35) Algebraic properties of function spaces in general topology (54C40) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Cites Work

• Prime and maximal ideals in subrings of C(X)
• Intersections of maximal ideals in algebras between \(C^*(X)\) and \(C(X)\)
• Stone-Čech compactification of a product
• Admissible Partitions of Fuzzy Finite State Machines
• Maximal Ideals in Subalgebras of C(X)
• On a class of subalgebras of $C(X)$ and the intersection of their free maximal ideals
• A generalized version of the rings $C_K(X)$ and $C_\infty(X)$ - an enquery about when they become Noetherian

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