f-Rings and the Stone-Weierstrass Theorem |
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| Authors: | B Banaschewski |
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| Institution: | (1) Department of Mathematics and Statistics, McMaster University, Hamilton, ON, Canada |
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| Abstract: | Using an appropriate notion of separating subring, it is shown that the classical Stone-Weierstrass Theorem for compact Hausdorff spaces is ultimately a result about f-rings. As an application the constructively valid Stone-Weierstrass Theorem for compact completely regular frames is obtained. |
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| Keywords: | bounded f-ring compact completely regular frame Stone-Weierstrass Theorem |
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