Characterizations of Ideals in Intermediate C-Rings A(X) via the A-Compactifications of X

Let X be a completely regular topological space. An intermediate ring is a ring A(X) of continuous functions satisfying C*(X)⊆A(X)⊆C(X). In Redlin and Watson (1987) and in Panman et al. (2012), correspondences 𝒵A and ℨA are defined between ideals in A(X) and z-filters on X, and it is shown that thes...

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Bibliographic Details
Main Authors: Joshua Sack, Saleem Watson
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2013/635361