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Flat C(X)-modules and F spaces

Published online by Cambridge University Press:  28 June 2011

Charles W. Neville
Charles W. Neville
Affiliation:
Department of Mathematics, Central Connecticut State University, Connecticut 06050, U.S.A.
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Abstract

We prove that the following conditions are equivalent: X is an F space; every ideal of C(X) is flat; every submodule of a free C(X)-module is flat.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 106 , Issue 2 , September 1989 , pp. 237 - 244
Copyright
Copyright © Cambridge Philosophical Society 1989

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