关于Mori整环的$w$-全局变换环的注记

A Note on the $w$-Global Transform of Mori Domains

中文关键词:  Mori整环  极大w-理想  w-全局变换环.

英文关键词:Mori domain  maximal w-ideal  the w-global transform.

中文摘要:

      设$R$是整环, $R^{wg}$是$R$的$w$-全局变换环. 本文证明了若$R$是Mori整环, 则$t\mbox{-}\dim(R^{wg})=t\mbox{-}\dim(R)-1$.

英文摘要:

      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.