Abstract
In this paper we will show that the followings ; (1) Let R be a regular local ring of dimension n. Then <TEX>$A_{n-2}$</TEX>(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 <TEX>$A_{n-3}$</TEX>(R). (3) Let R = V[[ <TEX>$X_1$</TEX>, <TEX>$X_2$</TEX>, …, <TEX>$X_{5}$</TEX> ]]/(p+ <TEX>$X_1$</TEX><TEX>$^{t1}$</TEX> + <TEX>$X_2$</TEX><TEX>$^{t2}$</TEX> + <TEX>$X_3$</TEX><TEX>$^{t3}$</TEX> + <TEX>$X_4$</TEX><TEX>$^2$</TEX>+ <TEX>$X_{5}$</TEX> <TEX>$^2$</TEX>/), where p <TEX>$\neq$</TEX>2, <TEX>$t_1$</TEX>, <TEX>$t_2$</TEX>, <TEX>$t_3$</TEX> are arbitrary positive integers and V is a complete discrete valuation ring with (p) = mv. Assume that R/m is algebraically closed. Then all the Chow group for R is 0 except the last Chow group.group.oup.
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