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Original Articles

Global dimension of rings of functions

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Pages 1075-1089 | Received 01 Oct 1998, Published online: 27 Jun 2007
 

Abstract

This article deals with the global dimension of rings of functions. An improved lower bound for global dimension is proved for von Neumann regular rings. If Xis a compact, Hausdorff and zero-dimensional space, and its weight and independence character coincide, then the global dimension of (X), its Stone dual, can be calculated. The spaces for which these invariants agree are studied. Finally, it is shown that, except for P-spaces, the global dimension of C(X) is at least 3.

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