In this paper we will show that the followings ; (1) Let $R$ be a regular local ring of dimension $n$. Then $A_{n-2}(R)=0$. (2) Let $R$ be a regular local ring of dimension $n$ and $I$ be an ideal in $R$ of height 3 such that $R/I$ is a Gorenstein ring. Then $[I]=0$ in $A_{n-3}(R)$. (3) Let $R=V[[X_1$, $X_2$, $cdots$, $X_{5}]]/(p+X_1^{t_1}$ $+ X_2^{t_2}$ $+ X_3^{t_3}$ $+ X_4^2$ $+ X_5^2)$, where $p e 2$, $t_1$, $t_2$, $t_3$ are arbitrary positive integers and $V$ is a complete discrete valuation ring with $(p)=m_V$. Assume that $R/m$ is algebraically closed. Then all the Chow group for $R$ is 0 except the last Chow group.
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机译：在本文中，我们将证明以下几点; （1）令$ R $为尺寸为$ n $的规则局部环。然后$ A_ {n-2}（R）= 0 $。 （2）令$ R $为尺寸为$ n $的规则局部环，而$ I $为高度3的$ R $中的理想环，使得$ R / I $为Gorenstein环。然后$ [I] = 0 $在$ A_ {n-3}（R）$中。 （3）设$ R = V [[X_1 $，$ X_2 $，$ cdots $，$ X_ {5}]] /（p + X_1 ^ {t_1} $ $ + X_2 ^ {t_2} $ $ + X_3 ^ {t_3} $ $ + X_4 ^ 2 $ $ + X_5 ^ 2）$，其中$ p ne 2 $，$ t_1 $，$ t_2 $，$ t_3 $是任意正整数，$ V $是完全离散的$（p）= m_V $的估值环。假设$ R / m $被代数关闭。然后，除最后一个Chow组外，$ R $的所有Chow组均为0。
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