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 𝔅(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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
