The Uniform Closure of Rational Modules |
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Authors: | Trent Tavan T; Wang James L |
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Institution: | College of Arts and Sciences, The University of Alabama University, Alabama 35486, U.S.A. |
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Abstract: | For a smooth function g, the module R(X)+gR(X) is dense in C(X)if and only if R(Z) is dense in C(Z), where X is compact andnowhere dense and Z is the subset of X on which g vanishes.The "localness" of the module R(X)+gR(X) is also investigated. |
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