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Isomorphisms of Ideals in Continuous Function Rings by scsensei101 is a document available to read on EtoBox.

What is Isomorphisms of Ideals in Continuous Function Rings about?

The document discusses isomorphisms between ideals in rings of continuous functions, specifically focusing on the ring C(X) of continuous real-valued functions on a completely regular Hausdorff space X. The author establishes that maximal ideals of an ideal in C(X) are of a certain form and demonstrates that isomorphisms between ideals preserve order and structure. Key theorems are presented, including the extension of isomorphisms from maximal ideals to the entire rings of continuous functions, and the cha

Author

scsensei101

Language

EN