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.
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Fund Project:Supported by the National Natural Science Foundation of China (Grant No.10671137) and the Research Foundation for Doctor Programme (Grant No.20060636001). |
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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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