Compactifications, and ring epimorphisms.
Burgess, W.D., Raphael, R. (2006)
Theory and Applications of Categories [electronic only]
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Burgess, W.D., Raphael, R. (2006)
Theory and Applications of Categories [electronic only]
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Raphael, R., Woods, R.G. (2005)
Theory and Applications of Categories [electronic only]
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Raphael, R. (1999)
Theory and Applications of Categories [electronic only]
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Walter D. Burgess, Robert M. Raphael (1981)
Czechoslovak Mathematical Journal
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Bernhard Banaschewski, Sung Sa Hong (2003)
Commentationes Mathematicae Universitatis Carolinae
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This note establishes that the familiar internal characterizations of the Tychonoff spaces whose rings of continuous real-valued functions are complete, or -complete, as lattice ordered rings already hold in the larger setting of pointfree topology. In addition, we prove the corresponding results for rings of integer-valued functions.
Kenneth A. Brown (1978)
Compositio Mathematica
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