Remarks on Rings of Quotients of Rings of Functions
Canadian mathematical bulletin, Tome 14 (1971) no. 2, pp. 159-160
Voir la notice de l'article provenant de la source Cambridge University Press
This paper was inspired by [4]. The main result there suggests a close relationship between injective hulls of C* algebras as studied in [2] and [3] and rational completions as studied in [1]. We shall prove an analogue of Theorem 1 in [3] for rational completions. The latter theorem states that the injective hull of the algebra C(X) of all complex valued functions on the compact Hausdorff space X is the algebra B(X) of all bounded Borel functions modulo sets of first category.
Gonshor, Harry. Remarks on Rings of Quotients of Rings of Functions. Canadian mathematical bulletin, Tome 14 (1971) no. 2, pp. 159-160. doi: 10.4153/CMB-1971-029-5
@article{10_4153_CMB_1971_029_5,
author = {Gonshor, Harry},
title = {Remarks on {Rings} of {Quotients} of {Rings} of {Functions}},
journal = {Canadian mathematical bulletin},
pages = {159--160},
year = {1971},
volume = {14},
number = {2},
doi = {10.4153/CMB-1971-029-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1971-029-5/}
}
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[4] 4. Park, Y.L., On the projective cover of the Stone-Cech compactification of a completely regular Hausdorff space, Canad. Math. Bull. 12 (1969), 327-331. Google Scholar
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