m-full ideals
m-full ideals
复制标题
m-完整的理想
DOI：
--
复制
发表时间：
1987
影响因子：
0.8
通讯作者：
J. Watanabe
中科院分区：
文献类型：
--
作者：
J. Watanabe
局部环(R，m)的理想a称为m-满的，如果对R的某个忠实平坦扩张中的某个y，Am：y=a。这个定义是由于Rees(未发表)而得到的一些初等结果(也未发表)。本文讨论了m-满理想的一些基本性质。一个结果是用理想的生成元的最小数目来刻画m-满性，推广了他在低维情形下的结果(定理2，§2)。
An ideal a of a local ring (R, m) is called m-full if am: y = a for some y in a certain faithfully flat extension of R. The definition is due to Rees (unpublished) and he had obtained some elementary results (also unpublished). The present paper concerns some basic properties of m-full ideals. One result is the characterization of m-fullness in terms of the minimal number of generators of ideal, generalizing his result in a low dimensional case (Theorem 2, § 2).