A Note on the $w$-Global Transform of Mori Domains
Received:May 11, 2008  Revised:January 05, 2009
Key Words: Mori domain   maximal w-ideal   the w-global transform.  
Fund Project:Supported by the National Natural Science Foundation of China (Grant No.10671137) and the Research Foundation for Doctor Programme (Grant No.20060636001).
Author NameAffiliation
Fang Gui WANG Institute of Mathematics and Software Science, Sichuan Normal University, Sichuan 610068, P. R. China 
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Abstract:
      Let $R$ be a domain and let $R^{wg}$ be the $w$-global transform of $R$. In this note it is shown that if $R$ is a Mori domain, then the $t$-dimension formula $t\mbox{-}\dim(R^{wg})=t\mbox{-}\dim(R)-1$ holds.
Citation:
DOI:10.3770/j.issn:1000-341X.2010.03.020
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