Global dimension of rings of functions
作者:
Robert T. Finn,
Jorge Martinez,
期刊:
Communications in Algebra
(Taylor Available online 2000)
卷期:
Volume 28,
issue 2
页码: 1075-1089
ISSN:0092-7872
年代: 2000
DOI:10.1080/00927870008826879
出版商: Gordon and Breach Science Publishers Ltd.
数据来源: Taylor
摘要:
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. IfXis 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 forP-spaces, the global dimension ofC(X) is at least 3.
点击下载:
PDF (685KB)
返 回