A remark on the homomorphism on C(X)

Let X be a real compact space. Without using the axiom of choice we present a simple and direct proof that a non-zero homomorphism on C(X) is determined by a point.

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2005-12, Vol.133 (12), p.3609-3611
Main Authors: ERCAN, Z, ONAL, S
Format: Article
Language:English
Subjects:
Algebra
Completely Hausdorff spaces
Continuous functions
Exact sciences and technology
Functional analysis
Homomorphisms
Mathematical analysis
Mathematical rings
Mathematical theorems
Mathematics
Sciences and techniques of general use
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Description
Summary:Let X be a real compact space. Without using the axiom of choice we present a simple and direct proof that a non-zero homomorphism on C(X) is determined by a point.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-05-07930-X