## “School of Mathematics”

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Paper   IPM / M / 8559
 School of Mathematics Title: Algebraic characterization of dense-seperability among compact spaces Author(s): E. Momtahan Status: To Appear Journal: Comm. Algebra Supported by: IPM
Abstract:
In this note, we show that a compact Hausdorff space X is dense-separable if and only if every family of ideals of C(X) with zero intersection has a countable subfamily with zero intersection. As a consequence of this characterization we observe that every compact dense-separable space with Soc(C(X))=0 has a countable dense and co-dense subset.